7 found
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  1.  49
    The “Sommerfeld Puzzle” Revisited and Resolved.L. C. Biedenharn - 1983 - Foundations of Physics 13 (1):13-34.
    The exact agreement between the Sommerfeld and Dirac results for the energy levels of the relativistic hydrogen atom (the “Sommerfeld Puzzle”) is analyzed and explained.
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  2. A Quantum-Mechanical Treatment of Szilard's Engine: Implications for the Entropy of Information. [REVIEW]L. C. Biedenharn & J. C. Solem - 1995 - Foundations of Physics 25 (8):1221-1229.
    We present a quantum-mechanical analysis of Szilard's famous single-molecule engine, showing that it is analogous to the double-slit experiment. We further show that the energy derived from the engine's operation is provided by the act of observing the molecule's location. The engine can be operated with no increase in physical entropy, and the second law of thermodynamics does not compel us to relate physical entropy to informational entropy. We conclude that information per seis a subjective, idealized, concept separated from the (...)
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  3.  98
    Time Reversal for Systems with Internal Symmetry.E. C. G. Sudarshan & L. C. Biedenharn - 1995 - Foundations of Physics 25 (1):139-143.
    Wigner time reversal implemented by antiunitary transformations on the wavefunctions is to be refined if we are to deal with systems with internal symmetry. The necessary refinements are formulated. Application to a number of physical problems is made with some unexpected revelations about some popular models.
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  4.  88
    On the Equivalence of the Skyrme-Witten Model and Large-N C Quark Models.L. C. Biedenharn & L. P. Horwitz - 1994 - Foundations of Physics 24 (3):401-417.
    We review the equivalence of the two-flavor Skyrme-Witten model and the two-flavor large-N c quark model. The claimed equivalence for three flavorsbetween these two models is shown to be incorrectly given in the literature, and the properly equivalent extended three-flavor large-N c quark model is constructed and discussed.
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  5.  42
    Understanding Geometrical Phases in Quantum Mechanics: An Elementary Example. [REVIEW]J. C. Solem & L. C. Biedenharn - 1993 - Foundations of Physics 23 (2):185-195.
    We discuss an exact solution to the simplest nontrivial example of a geometrical phase in quantum mechanics. By means of this example: (1) we elucidate the fundamental distinction between rays and vectors in describing quantum mechanical states; (2) we show that superposition of quantal states is invalid; only decomposition is allowed—which is adequate for the measurement process. Our example also shows that the origin of singularities in the analog vector potential is to be found in the unavoidable breaking of projective (...)
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  6.  14
    Chiral Two-Component Spinors and the Factorization of Kramers's Equation.L. C. Biedenharn & L. P. Horwitz - 1984 - Foundations of Physics 14 (10):953-961.
    Kramers's equation specialized to the Coulomb field is factored using a rotationally invariant, angular momentum based, algebra of three anticommuting operators. Comparing the explicit chiral two-component solutions for the factored equation to the two-component solutions defined by the Foldy-Wouthuysen series for the Dirac-Coulomb Hamiltonian, it is concluded that this series cannot converge.
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  7.  8
    A Kinematical Model for Quarks and Hadrons.L. C. Biedenharn, R. Y. Cusson, M. Y. Han & J. D. Louck - 1972 - Foundations of Physics 2 (2-3):149-159.
    Starting from simple topological arguments due to Dirac on the classical rotational properties of extended rigid bodies, we abstract the concept of a finite-size spinor (FSS). The FSS is a concept distinct from both point spinors (e.g., electrons) and composite spinors (e.g., nuclei), and suggests a new model for baryons. The FSS offers a natural explanation of “threeness” for the quarks, excludes the existence of free quarks, denies the operational definition of quark spin statistics, and, moreover, leads to the dual (...)
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