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  1.  96
    Probability Backflow for a Dirac Particle.G. F. Melloy & A. J. Bracken - 1998 - Foundations of Physics 28 (3):505-514.
    The phenomenon of probability backflow, previously quantified for a free nonrelativistic particle, is considered for a free particle obeying Dirac's equation. It is shown that probability backflow can occur in the opposite direction to the momentum; that is to say, there exist positive-energy states in which the particle certainly has a positive momentum in a given direction, but for which the component of the probability flux vector in that direction is negative. It is shown that the maximum possible amount of (...)
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  2.  16
    Particle-Like Configurations of the Electromagnetic Field: An Extension of de Broglie's Ideas.A. O. Barut & A. J. Bracken - 1992 - Foundations of Physics 22 (10):1267-1285.
    Localised configurations of the free electromagnetic field are constructed, possessing properties of massive, spinning, relativistic particles. In an inertial frame, each configuration travels in a straight line at constant speed, less than the speed of lightc, while slowly spreading. It eventually decays into pulses of radiation travelling at speedc. Each configuration has a definite rest mass and internal angular momentum, or spin. Each can be of “electric” or “magnetic” type, according as the radial component of the magnetic or electric field (...)
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  3.  50
    Compact Quantum Systems and the Pauli Data Problem.A. J. Bracken & R. J. B. Fawcett - 1993 - Foundations of Physics 23 (2):277-289.
    Compact quantum systems have underlying compact kinematical Lie algebras, in contrast to familiar noncompact quantum systems built on the Weyl-Heisenberg algebra. Pauli asked in the latter case: to what extent does knowledge of the probability distributions in coordinate and momentum space determine the state vector? The analogous question for compact quantum systems is raised, and some preliminary results are obtained.
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  4.  28
    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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  5.  15
    Waiting for the Quantum Bus: The Flow of Negative Probability.A. J. Bracken & G. F. Melloy - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):13-19.