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The Principles of Quantum Mechanics

Clarendon Press (1930)

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  1. Nonideal Quantum Measurements.Hans Martens & Willem M. de Muynck - 1990 - Foundations of Physics 20 (3):255-281.
    A partial ordering in the class of observables (∼ positive operator-valued measures, introduced by Davies and by Ludwig) is explored. The ordering is interpreted as a form of nonideality, and it allows one to compare ideal and nonideal versions of the same observable. Optimality is defined as maximality in the sense of the ordering. The framework gives a generalization of the usual (implicit) definition of self-adjoint operators as optimal observables (von Neumann), but it can, in contrast to this latter definition, (...)
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  • A Theory of Causality: Causality=Interaction (as Defined by a Suitable Quantum Field Theory). [REVIEW]Adrian Heathcote - 1989 - Erkenntnis 31 (1):77 - 108.
    In this paper I put forward a suggestion for identifying causality in micro-systems with the specific quantum field theoretic interactions that occur in such systems. I first argue — along the lines of general transference theories — that such a physicalistic account is essential to an understanding of causation; I then proceed to sketch the concept of interaction as it occurs in quantum field theory and I do so from both a formal and an informal point of view. Finally, I (...)
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  • A Persistent Particle Ontology for Quantum Field Theory in Terms of the Dirac Sea.Dirk-André Deckert, Michael Esfeld & Andrea Oldofredi - 2019 - British Journal for the Philosophy of Science 70 (3):747-770.
    We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to quantum field theory. By means of the Dirac sea model—exemplified in the electron sector of the standard model neglecting radiation—we explain how starting from persisting particles, one is led to standard QFT employing creation and annihilation operators when tracking the dynamics with respect to a reference state, the so-called vacuum. Since on the level of wave (...)
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  • Quantum Metaphysical Indeterminacy.Claudio Calosi & Jessica Wilson - 2018 - Philosophical Studies:1-29.
    On many currently live interpretations, quantum mechanics violates the classical supposition of value definiteness, according to which the properties of a given particle or system have precise values at all times. Here we consider whether either metaphysical supervaluationist or determinable-based approaches to metaphysical indeterminacy can accommodate quantum metaphysical indeterminacy (QMI). We start by discussing the standard theoretical indicator of QMI, and distinguishing three seemingly different sources of QMI (S1). We then show that previous arguments for the conclusion that metaphysical supervaluationism (...)
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  • A Conceptual Construction of Complexity Levels Theory in Spacetime Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics and Dynamic Systems. [REVIEW]R. Brown, J. F. Glazebrook & I. C. Baianu - 2007 - Axiomathes 17 (3-4):409-493.
    A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that (...)
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  • In Defence of Indispensability.Mark Colyvan - 1998 - Philosophia Mathematica 6 (1):39-62.
    Indispensability arguments for realism about mathematical entities have come under serious attack in recent years. To my mind the most profound attack has come from Penelope Maddy, who argues that scientific/mathematical practice doesn't support the key premise of the indispensability argument, that is, that we ought to have ontological commitment to those entities that are indispensable to our best scientific theories. In this paper I defend the Quine/Putnam indispensability argument against Maddy's objections.
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  • The Grammar of Teleportation.Christopher Gordon Timpson - 2006 - British Journal for the Philosophy of Science 57 (3):587-621.
    Whilst a straightforward consequence of the formalism of non-relativistic quantum mechanics, the phenomenon of quantum teleportation has given rise to considerable puzzlement. In this paper, the teleportation protocol is reviewed and these puzzles dispelled. It is suggested that they arise from two primary sources: (1) the familiar error of hypostatizing an abstract noun (in this case, ‘information’) and (2) failure to differentiate interpretation dependent from interpretation independent features of quantum mechanics. A subsidiary source of error, the simulation fallacy, is also (...)
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  • Critique of Quantum Optical Experimental Refutations of Bohr’s Principle of Complementarity, of the Wootters–Zurek Principle of Complementarity, and of the Particle–Wave Duality Relation.P. N. Kaloyerou - 2016 - Foundations of Physics 46 (2):138-175.
    I argue that quantum optical experiments that purport to refute Bohr’s principle of complementarity fail in their aim. Some of these experiments try to refute complementarity by refuting the so called particle–wave duality relations, which evolved from the Wootters–Zurek reformulation of BPC. I therefore consider it important for my forgoing arguments to first recall the essential tenets of BPC, and to clearly separate BPC from WZPC, which I will argue is a direct contradiction of BPC. This leads to a need (...)
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  • Is the Individuality Interpretation of Quantum Theory Wrong?Ulf Klein - unknown
    We analyze the question whether or not quantum theory should be used to describe single particles. Our final result is that a rational basis for such an ’individuality interpretation’ does not exist. A critical examination of three principles, supporting the individuality interpretation, leads to the result that no one of these principles seems to be realized in nature. The well-known controversy characterized by the names of Einstein, Bohr and Bell is analyzed. EPR proved ’predictive incompleteness’ of quantum theory, which implies (...)
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  • Information Invariance and Quantum Probabilities.Časlav Brukner & Anton Zeilinger - 2009 - Foundations of Physics 39 (7):677-689.
    We consider probabilistic theories in which the most elementary system, a two-dimensional system, contains one bit of information. The bit is assumed to be contained in any complete set of mutually complementary measurements. The requirement of invariance of the information under a continuous change of the set of mutually complementary measurements uniquely singles out a measure of information, which is quadratic in probabilities. The assumption which gives the same scaling of the number of degrees of freedom with the dimension as (...)
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  • Quantum Mechanics in a New Light.Ulrich J. Mohrhoff - 2017 - Foundations of Science 22 (3):517-537.
    Although the present paper looks upon the formal apparatus of quantum mechanics as a calculus of correlations, it goes beyond a purely operationalist interpretation. Having established the consistency of the correlations with the existence of their correlata, and having justified the distinction between a domain in which outcome-indicating events occur and a domain whose properties only exist if their existence is indicated by such events, it explains the difference between the two domains as essentially the difference between the manifested world (...)
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  • Some Aspects of Quantum Physics.Newton C. A. da Costa - 2007 - Principia: An International Journal of Epistemology 11 (1):77-95.
    I discuss some questions of quantum physics, for instance the validity and limitations of the basic language of set theory to deal with problems related to elementary particles. I also present a sketch of a formalization of a “metaphysics of structures”, which might be useful for a kind of “ontic structural realism”, and briefly review the concept of quasi-truth, which underlies my way of understanding scientific theories and the scientific activity.
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  • Quantum Phase Space From Schwinger’s Measurement Algebra.P. Watson & A. J. Bracken - 2014 - Foundations of Physics 44 (7):762-780.
    Schwinger’s algebra of microscopic measurement, with the associated complex field of transformation functions, is shown to provide the foundation for a discrete quantum phase space of known type, equipped with a Wigner function and a star product. Discrete position and momentum variables label points in the phase space, each taking \(N\) distinct values, where \(N\) is any chosen prime number. Because of the direct physical interpretation of the measurement symbols, the phase space structure is thereby related to definite experimental configurations.
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  • On the Non-Existence of Parallel Universes in Chemistry.Richard F. W. Bader - 2011 - Foundations of Chemistry 13 (1):11-37.
    This treatise presents thoughts on the divide that exists in chemistry between those who seek their understanding within a universe wherein the laws of physics apply and those who prefer alternative universes wherein the laws are suspended or ‘bent’ to suit preconceived ideas. The former approach is embodied in the quantum theory of atoms in molecules (QTAIM), a theory based upon the properties of a system’s observable distribution of charge. Science is experimental observation followed by appeal to theory that, upon (...)
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  • A Further Review of the Incompatibility Between Classical Principles and Quantum Postulates.M. Ferrero, V. Gómez Pin, D. Salgado & J. L. Sánchez-Gómez - 2013 - Foundations of Science 18 (1):125-138.
    The traditional “realist” conception of physics, according to which human concepts, laws and theories can grasp the essence of a reality in our absence , seems incompatible with quantum formalism and it most fruitful interpretation. The proof rests on the violation by quantum mechanical formalism of some fundamental principles of the classical ontology. We discuss if the conception behind Einstein’s idea of a reality in our absence, could be still maintained and at which price. We conclude that quantum mechanical formalism (...)
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  • On the Property Structure of Realist Collapse Interpretations of Quantum Mechanics and the so-Called "Counting Anomaly".Roman Frigg - 2003 - International Studies in the Philosophy of Science 17 (1):43 – 57.
    The aim of this article is twofold. Recently, Lewis has presented an argument, now known as the "counting anomaly", that the spontaneous localization approach to quantum mechanics, suggested by Ghirardi, Rimini, and Weber, implies that arithmetic does not apply to ordinary macroscopic objects. I will take this argument as the starting point for a discussion of the property structure of realist collapse interpretations of quantum mechanics in general. At the end of this I present a proof of the fact that (...)
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  • Decision Theory with Prospect Interference and Entanglement.V. I. Yukalov & D. Sornette - 2011 - Theory and Decision 70 (3):283-328.
    We present a novel variant of decision making based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intentions, which allows us to describe a variety of interesting fallacies and anomalies that have been reported to particularize the decision making of real human beings. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. We demonstrate how the violation of the Savage’s sure-thing principle, known (...)
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  • A Cauchy-Dirac Delta Function.Mikhail G. Katz & David Tall - 2013 - Foundations of Science 18 (1):107-123.
    The Dirac δ function has solid roots in nineteenth century work in Fourier analysis and singular integrals by Cauchy and others, anticipating Dirac’s discovery by over a century, and illuminating the nature of Cauchy’s infinitesimals and his infinitesimal definition of δ.
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  • The Relation Between Classical and Quantum Electrodynamics.Mario Bacelar Valente - 2011 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 26 (1):51-68.
    Quantum electrodynamics presents intrinsic limitations in the description of physical processes that make it impossible to recover from it the type of description we have in classical electrodynamics. Hence one cannot consider classical electrodynamics as reducing to quantum electrodynamics and being recovered from it by some sort of limiting procedure. Quantum electrodynamics has to be seen not as a more fundamental theory, but as an upgrade of classical electrodynamics, which permits an extension of classical theory to the description of phenomena (...)
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  • Quantum Mechanics Unscrambled.Jean-Michel Delhotel - manuscript
    Is quantum mechanics about ‘states’? Or is it basically another kind of probability theory? It is argued that the elementary formalism of quantum mechanics operates as a well-justified alternative to ‘classical’ instantiations of a probability calculus. Its providing a general framework for prediction accounts for its distinctive traits, which one should be careful not to mistake for reflections of any strange ontology. The suggestion is also made that quantum theory unwittingly emerged, in Schrödinger’s formulation, as a ‘lossy’ by-product of a (...)
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  • Mind Your P's and Q's: Von Neumann Versus Jordan on the Foundations of Quantum Theory.Anthony Duncan & Michel Janssen - unknown
    In early 1927, Pascual Jordan published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von Neumann published the modern Hilbert space formalism of quantum mechanics. Central to both formalisms are expressions for conditional probabilities of finding some value for one quantity given the value of another. Beyond that Jordan and von Neumann had very different views about the appropriate formulation of problems in the new (...)
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  • Do Dispositions and Propensities Have a Role in the Ontology of Quantum Mechanics? Some Critical Remarks.Mauro Dorato - unknown
    In order to tackle the question posed by the title – notoriously answered in the positive, among others, by Heisenberg, Margenau, Popper and Redhead – I first discuss some attempts at distinguishing dispositional from non-dispositional properties, and then relate the distinction to the formalism of quantum mechanics. Since any answer to the question titling the paper must be interpretation-dependent, I review some of the main interpretations of quantum mechanics in order to argue that the ontology of theories regarding “wave collapse” (...)
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  • The Esperable Uberty of Quantum Chromodynamics.Steven French - 1995 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 26 (1):87-105.
    Within the philosophy of science there has been a great deal of rather vague talk about the 'heuristic fruitfulness' (or what Peirce called the 'esperable uberty') of theories. It is my aim in the present paper to add some precision to these discussions by linking this 'fruitfulness' to the satisfaction of certain heuristic criteria. In this manner the demarcation between 'discovery' and 'pursuit' becomes blurred. As a case study, I present the competition between the paraparticle and colour models of quarks (...)
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  • The Peculiar Notion of Exchange Forces—II: From Nuclear Forces to QED, 1929–1950.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):99-131.
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  • The Paraconsistent Logic of Quantum Superpositions.Newton C. A. da Costa & Christian de Ronde - 2013 - Foundations of Physics 43 (7):845-858.
    Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by ‘superposition’ in each case is extremely different. In this paper we discuss some of the multiple interpretations which exist in the literature regarding superpositions in quantum mechanics. We argue that all these interpretations have something in common: they all attempt to avoid ‘contradiction’. We argue in this paper, in favor of the importance of developing a new interpretation of superpositions which takes into account contradiction, (...)
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  • Quantic Fibers for Classical Systems: An Introduction to Geometric Quantization.Gabriel Catren - 2013 - Scientiae Studia 11 (1):35-74.
    En este artículo, se introducirá el formalismo de cuantificación canónica denominado "cuantificación geométrica". Dado que dicho formalismo permite entender la mecánica cuántica como una extensión geométrica de la mecánica clásica, se identificarán las insuficiencias de esta última resueltas por dicha extensión. Se mostrará luego como la cuantificación geométrica permite explicar algunos de los rasgos distintivos de la mecánica cuántica, como, por ejemplo, la noconmutatividad de los operadores cuánticos y el carácter discreto de los espectros de ciertos operadores. In this article, (...)
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  • Addressing the Conflict Between Relativity and Quantum Theory: Models, Measurement and the Markov Property.Gareth Ernest Boardman - 2013 - Cosmos and History 9 (2):86-115.
    Twenty-first century science faces a dilemma. Two of its well-verified foundation stones - relativity and quantum theory - have proven inconsistent. Resolution of the conflict has resisted improvements in experimental precision leaving some to believe that some fundamental understanding in our world-view may need modification or even radical reform. Employment of the wave-front model of electrodynamics, as a propagation process with a Markov property, may offer just such a clarification.
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  • Compatible Stochastic Observables That Do Not Commute.Franklin E. Schroeck - 1985 - Foundations of Physics 15 (6):677-681.
    It is shown that stochastic observables defined by an instrument need not, and generally do not, commute.
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  • Time Asymmetry and Quantum Equations of Motion.T. E. Phipps - 1973 - Foundations of Physics 3 (4):435-455.
    Accepted quantum description is stochastic, yet history is nonstochastic, i.e., not representable by a probability distribution. Therefore ordinary quantum mechanics is unsuited to describe history. This is a limitation of the accepted quantum theory, rather than a failing of mechanics in general. To remove the limitation, it would be desirable to find a form of quantum mechanics that describes the future stochastically and the past nonstochastically. For this purpose it proves sufficient to introduce into quantum mechanics, by means of a (...)
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  • A Persistent Particle Ontology for QFT in Terms of the Dirac Sea.Dirk-André Deckert, Michael Esfeld & Andrea Oldofredi - forthcoming - British Journal for the Philosophy of Science.
    We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to QFT. By means of the Dirac sea model – exemplified in the electron sector of the standard model neglecting radiation – we explain how starting from persisting particles, one is led to standard QFT employing creation and annihilation operators when tracking the dynamics with respect to a reference state, the so-called vacuum. Since on the level (...)
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  • The Inaccuracy Principle.Hans Martens & Willem M. de Muynck - 1990 - Foundations of Physics 20 (4):357-380.
    The problem of joint measurement of incompatible observables is investigated. Measurements are represented by positive operator-valued measures. A quantitative notion of inaccuracy is defined. It is shown that within this framework joint inaccurate measurements are possible for arbitrary maximal projection-valued measures on finite-dimensional spaces. The accuracy of such measurements is limited, as is shown by an inaccuracy inequality we derive. This new type of uncertainty relation can be unambiguously interpreted as referring to measurement precision rather than preparative quality. Several recent (...)
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  • Pauli-Dirac Matrix Generators of Clifford Algebras.Charles P. Poole & Horacio A. Farach - 1982 - Foundations of Physics 12 (7):719-738.
    This article presents a Pauli-Dirac matrix approach to Clifford Algebras. It is shown that the algebra C2 is generated by two Pauli matrices iσ2 and iσ3; C3 is generated by the three Pauli matrices σ1, σ2, σ3; C4 is generated by four Dirac matrices γ0, γ1, γ2, γ3 and C5 is generated by five Dirac matrices iγ0, iγ1, iγ2, iγ3, iγ5. The higher dimensional anticommuting matrices which generate arbitrarily high order Clifford algebras are given in closed form. The results obtained (...)
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  • Philosophy of Quantum Probability - An Empiricist Study of its Formalism and Logic.Ronnie Hermens - unknown
    The use of probability theory is widespread in our daily life as well as in scientific theories. In virtually all cases, calculations can be carried out within the framework of classical probability theory. A special exception is given by quantum mechanics, which gives rise to a new probability theory: quantum probability theory. This dissertation deals with the question of how this formalism can be understood from a philosophical and physical perspective. The dissertation is divided into three parts. In the first (...)
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  • Toward a Fundamental Mechanics. I.T. E. Phipps - 1975 - Foundations of Physics 5 (1):45-58.
    In this, the first of a two-part paper, a conceptual purification of physics is advocated, whereby the idea of the field is completely eliminated in favor of particulate dynamical laws. Previous work concerning a specific formulation of such purely mechanical laws is reviewed and is shown to imply the possibility of existence of electrons and positrons within nuclei or “elementary” particles in stable bound states characterized by real mass-energy and imaginary momentum. The second part of the paper will examine the (...)
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  • Interpretations of Quantum Mechanics, Joint Measurement of Incompatible Observables, and Counterfactual Definiteness.W. M. de Muynck, W. De Baere & H. Martens - 1994 - Foundations of Physics 24 (12):1589-1664.
    The validity of the conclusion to the nonlocality of quantum mechanics, accepted widely today as the only reasonable solution to the EPR and Bell issues, is questioned and criticized. Arguments are presented which remove the compelling character of this conclusion and make clear that it is not the most obvious solution. Alternative solutions are developed which are free of the contradictions related with the nonlocality conclusion. Firstly, the dependence on the adopted interpretation is shown, with the conclusion that the alleged (...)
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  • The Transitions Among Classical Mechanics, Quantum Mechanics, and Stochastic Quantum Mechanics.Franklin E. Schroeck - 1982 - Foundations of Physics 12 (9):825-841.
    Various formalisms for recasting quantum mechanics in the framework of classical mechanics on phase space are reviewed and compared. Recent results in stochastic quantum mechanics are shown to avoid the difficulties encountered by the earlier approach of Wigner, as well as to avoid the well-known incompatibilities of relativity and ordinary quantum theory. Specific mappings among the various formalisms are given.
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  • The Analysis of Lagrangian and Hamiltonian Properties of the Classical Relativistic Electrodynamics Models and Their Quantization.Nikolai N. Bogolubov & Anatoliy K. Prykarpatsky - 2010 - Foundations of Physics 40 (5):469-493.
    The Lagrangian and Hamiltonian properties of classical electrodynamics models and their associated Dirac quantizations are studied. Using the vacuum field theory approach developed in (Prykarpatsky et al. Theor. Math. Phys. 160(2): 1079–1095, 2009 and The field structure of a vacuum, Maxwell equations and relativity theory aspects. Preprint ICTP) consistent canonical Hamiltonian reformulations of some alternative classical electrodynamics models are devised, and these formulations include the Lorentz condition in a natural way. The Dirac quantization procedure corresponding to the Hamiltonian formulations is (...)
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  • Curvilinear Coordinate and Momentum Operators in Configuration Representation.Boris Leaf - 1980 - Foundations of Physics 10 (7-8):581-599.
    From the known coordinate representation of these operators, a unified treatment of the abstract operators for curvilinear coordinates and their canonically conjugate momenta is given for systems in three dimensions. A configuration representation, corresponding to classical configuration space, exists in which description is simplified; the three-dimensional ket space factors into a direct product of one-dimensional spaces. Four cases are examined, according to the range of the continuous curvilinear coordinate. In addition to normalization of momentum eigenstates to the Kronecker delta for (...)
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  • Relativistic Hadronic Mechanics: Nonunitary, Axiom-Preserving Completion of Relativistic Quantum Mechanics.Ruggero Maria Santilli - 1997 - Foundations of Physics 27 (5):625-729.
    The most majestic scientific achievement, of this century in mathematical beauty, axiomatic consistency, and experimental verifications has been special relativity with its unitary structure at the operator level, and canonical structure at the classical levels, which has turned out to be exactly valid for point particles moving in the homogenenous and isotropic vacuum (exterior dynamical problems). In recent decades a number of authors have studied nonunitary and noncanonical theories, here generally calleddeformations for the representation of broader conditions, such as extended (...)
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  • Is There a Reality Out There?O. Costa de Beauregard - 1992 - Foundations of Physics 22 (1):121-135.
    Joseph Bertrand's 1888 evidencing that assignment of a probability depends upon what one chooses to know or not and to control or not, congruent with Grad's 1961 evidencing that statistical entropy depends upon what one deems relevant or not in formalization and measurement, radically undermine common sense realism; mean values are symbols, but symbols of what? For that very reason, recent clever conceptualizations of the quantum measurement process via partial tracing do not restore realism: How could deliberate ignorance generate a (...)
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  • Report on Recent Developments in the Philosophy of Quantum Mechanics.Henry Margenau & John Compton - 1949 - Synthese 8 (1):260 - 271.
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  • On Classical and Quantum Objectivity.Gabriel Catren - 2008 - Foundations of Physics 38 (5):470-487.
    We propose a conceptual framework for understanding the relationship between observables and operators in mechanics. To do so, we introduce a postulate that establishes a correspondence between the objective properties permitting to identify physical states and the symmetry transformations that modify their gauge dependant properties. We show that the uncertainty principle results from a faithful—or equivariant—realization of this correspondence. It is a consequence of the proposed postulate that the quantum notion of objective physical states is not incomplete, but rather that (...)
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  • The Schrödinger Equation in Quantum Field Theory.Jamal Nazrul Islam - 1994 - Foundations of Physics 24 (5):593-630.
    Some aspects of the Schrödinger equation in quantum field theory are considered in this article. The emphasis is on the Schrödinger functional equation for Yang-Mills theory, arising mainly out of Feynman's work on (2+1)-dimensional Yang-Mills theory, which he studied with a view to explaining the confinement of gluons. The author extended Feynman's work in two earlier papers, and the present article is partly a review of Feynman's and the author's work and some further extension of the latter. The primary motivation (...)
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  • Quantum Statistics, Identical Particles and Correlations.Dennis Dieks - 1990 - Synthese 82 (1):127 - 155.
    It is argued that the symmetry and anti-symmetry of the wave functions of systems consisting of identical particles have nothing to do with the observational indistinguishability of these particles. Rather, a much stronger conceptual indistinguishability is at the bottom of the symmetry requirements. This can be used to argue further, in analogy to old arguments of De Broglie and Schrödinger, that the reality described by quantum mechanics has a wave-like rather than particle-like structure. The question of whether quantum statistics alone (...)
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  • Limits to the Universality of Quantum Mechanics.Brian D. Josephson - 1988 - Foundations of Physics 18 (12):1195-1204.
    Niels Bohr's arguments indicating the non-applicability of quantum methodology to the study of the ultimate details of life, given in his bookAtomic Physics and Human Knowledge, conflict with the commonly held opposite view. The bases for the usual beliefs are examined and shown to have little validity; significant differences do exist between the living organism and the type of system studied successfully in the physics laboratory. Dealing with living organisms in quantum-mechanical terms with the same degree of rigor as is (...)
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  • The Screen Problem.Bogdan Mielnik - 1994 - Foundations of Physics 24 (8):1113-1129.
    The statistical interpretation of the quantum mechanical wave packet contains a gap. The author outlines the problem without offering a solution.
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  • Transitions to the Continuum: Three Different Approaches.M. E. Burgos - 2008 - Foundations of Physics 38 (10):883-907.
    We present three different derivations of the transition probabilities to the continuum. It is shown that calculations, performed as a direct application of the postulates of orthodox quantum mechanics (OQM), do not yield results consistent with experiments. Traditional treatments are summarized and criticized. The relation of the transitions to the continuum with the traditional quantum measurement problem is pointed out; we sum up and comment some contributions concerning this issue. It is shown that an approach based on the notion of (...)
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  • On the Zigzagging Causility Model of EPR Correlations and on the Interpretation of Quantum Mechanics.O. Costa de Beauregard - 1988 - Foundations of Physics 18 (9):913-938.
    Being formalized inside the S-matrix scheme, the zigzagging causility model of EPR correlations has full Lorentz and CPT invariance. EPR correlations, proper or reversed, and Wheeler's smoky dragon metaphor are respectively pictured in spacetime or in the momentum-energy space, as V-shaped, A-shaped, or C-shaped ABC zigzags, with a summation at B over virtual states |B〉 〈B|. An exact “correspondence” exists between the Born-Jordan-Dirac “wavelike” algebra of transition amplitudes and the 1774 Laplace algebra of conditional probabilities, where the intermediate summations |B) (...)
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  • Coming From Material Reality.Miguel Ferrero & J. L. Sánchez-Gómez - 2015 - Foundations of Science 20 (2):199-212.
    In a previous essay we demonstrated that quantum mechanical formalism is incompatible with some necessary principles of the mechanism conception still dominant in the physicist’s community. In this paper we show, based on recent empirical evidence in quantum physics, the inevitability of abandoning the old mechanism conception and to construct a new one in which physical reality is seen as a representation which refers to relations established through operations made by us in a world that we are determining. This change (...)
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  • On the Existence of Zero Rest Mass Particles.L. S. Mayants - 1981 - Foundations of Physics 11 (7-8):577-591.
    It is shown that no concrete particle can have zero rest mass. A separate photon is proven to be a concrete particle. The nonexistence of the electromagnetic field as an independent physical reality is demonstrated. The existence of a subatomic electromagnetic particle of a very small rest mass, theemon, instead of the electromagnetic field, is stated. The compatibility of the notion of the emon with the special relativity theory is elucidated. Some corollaries of the existence of the emon as well (...)
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