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Andreas Henriksson
Stavanger Katedralskole
  1.  66
    Fidelity and Mistaken Identity for Symplectic Quantum States.Andreas Henriksson - manuscript
    The distinguishability between pairs of quantum states, as measured by quantum fidelity, is formulated on phase space. The fidelity is physically interpreted as the probability that the pair are mistaken for each other upon an measurement. The mathematical representation is based on the concept of symplectic capacity in symplectic topology. The fidelity is the absolute square of the complex-valued overlap between the symplectic capacities of the pair of states. The symplectic capacity for a given state, onto any conjugate plane of (...)
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  2. Liouville's Theorem and the Foundation of Classical Mechanics.Andreas Henriksson - forthcoming - Lithuanian Journal of Physics.
    In this article, it is suggested that a pedagogical point of departure in the teaching of classical mechanics is the Liouville theorem. The theorem is interpreted to define the condition that describe the conservation of information in classical mechanics. The Hamilton equations and the Hamilton principle of least action are derived from the Liouville theorem.
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  3.  76
    Quantum Superpositions and the Measurement Problem.Andreas Henriksson - manuscript
    The measurement problem is addressed from the viewpoint that it is the distinguishability between the state preparation and its quantum ensemble, i.e. the set of states with which it has a non-zero overlap, that is at the heart of the difference between classical and quantum measurements. The measure for the degree of distinguishability between pairs of quantum states, i.e. the quantum fidelity, is for this purpose generalized, by the application of the superposition principle, to the setting where there exists an (...)
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  4. Arrow of Time and Observer Information.Andreas Henriksson - manuscript
    In this article, the arrow of time as it appears in the statistical interpretation of the second law of thermodynamics is suggested to be of no relevance in understanding the true origin for the directionality of time. To arrive at this point of view, the theory of statistical mechanics is revisited, and restated in terms of the information content possessed by an observer of the system. By doing so, the statement that the arrow of time is due to the tendency (...)
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  5.  12
    Quantum Potential Energy and Non-Locality.Andreas Henriksson - manuscript
    The quantum potential energy, as introduced by David Bohm, is defined and interpreted within symplectic quantum mechanics. It is a form of energy which cannot be localized in space. It represent the energy associated with the spatial curvature of the square-root quantum fidelity.
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  6.  6
    Black Hole Entropy with Higher Derivative Corrections.Andreas Henriksson - 2006 - Dissertation, University of Gothenburg
    In this thesis, we study the entropy of extremal black holes in the presence of higher derivative corrections to the action. We begin by reviewing how entropy is defined in such situations and proceed by looking at properties of certain corrections, namely curvature corrections up to quartic order. We derive which terms will give a contribution to the black hole entropy and if there is some constraint they must satisfy. We also look at how the near-horizon geometry will be deformed (...)
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