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  1. Green's functions for off-shell electromagnetism and spacelike correlations.M. C. Land & L. P. Horwitz - 1991 - Foundations of Physics 21 (3):299-310.
    The requirement of gauge invariance for the Schwinger-DeWitt equations, interpreted as a manifestly covariant quantum theory for the evolution of a system in spacetime, implies the existence of a five-dimensional pre-Maxwell field on the manifold of spacetime and “proper time” τ. The Maxwell theory is contained in this theory; integration of the field equations over τ restores the Maxwell equations with the usual interpretation of the sources. Following Schwinger's techniques, we study the Green's functions for the five-dimensional hyperbolic field equations (...)
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  • Off-shell electromagnetism in manifestly covariant relativistic quantum mechanics.David Saad, L. P. Horwitz & R. I. Arshansky - 1989 - Foundations of Physics 19 (10):1125-1149.
    Gauge invariance of a manifestly covariant relativistic quantum theory with evolution according to an invariant time τ implies the existence of five gauge compensation fields, which we shall call pre-Maxwell fields. A Lagrangian which generates the equations of motion for the matter field (coinciding with the Schrödinger type quantum evolution equation) as well as equations, on a five-dimensional manifold, for the gauge fields, is written. It is shown that τ integration of the equations for the pre-Maxwell fields results in the (...)
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  • On the two aspects of time: The distinction and its implications. [REVIEW]L. P. Horwitz, R. I. Arshansky & A. C. Elitzur - 1988 - Foundations of Physics 18 (12):1159-1193.
    The contemporary view of the fundamental role of time in physics generally ignores its most obvious characteric, namely its flow. Studies in the foundations of relativistic mechanics during the past decade have shown that the dynamical evolution of a system can be treated in a manifestly covariant way, in terms of the solution of a system of canonical Hamilton type equations, by considering the space-time coordinates and momenta ofevents as its fundamental description. The evolution of the events, as functions of (...)
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  • The Landau-Peierls relation and a causal bound in covariant relativistic quantum theory.R. Arshansky & L. P. Horwitz - 1985 - Foundations of Physics 15 (6):701-715.
    Thought experiments analogous to those discussed by Landau and Peierls are studied in the framework of a manifestly covariant relativistic quantum theory. It is shown that momentum and energy can be arbitrarily well defined, and that the drifts induced by measurement in the positions and times of occurrence of events remain within the (stable) spread of the wave packet in space-time. The structure of the Newton-Wigner position operator is studied in this framework, and it is shown that an analogous time (...)
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