The Classical Limit of Quantum Mechanics

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The Feynman path integral formulation of quantum mechanics is a path integral representation for a propagator or probability amplitude in going between two points in space-time. The wave function is expressed in terms of an integral equation from which the Schrodinger equation can be derived. On taking the limit h — 0, the method of stationary phase can be applied and Newton's second law of motion is obtained. Also, the condition the phase vanishes leads to the Hamilton - Jacobi equation. The secondary objective of this paper is to study ways of relating quantum mechanics and classical mechanics. The Ehrenfest ... continued below

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v, 89 leaves : graphs

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Hefley, Velton Wade December 1977.

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  • Hefley, Velton Wade

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The Feynman path integral formulation of quantum mechanics is a path integral representation for a propagator or probability amplitude in going between two points in space-time. The wave function is expressed in terms of an integral equation from which the Schrodinger equation can be derived. On taking the limit h — 0, the method of stationary phase can be applied and Newton's second law of motion is obtained. Also, the condition the phase vanishes leads to the Hamilton - Jacobi equation. The secondary objective of this paper is to study ways of relating quantum mechanics and classical mechanics. The Ehrenfest theorem is applied to a particle in an electromagnetic field. Expressions are found which are the hermitian Lorentz force operator, the hermitian torque operator, and the hermitian power operator.

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v, 89 leaves : graphs

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  • December 1977

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  • May 10, 2015, 6:16 a.m.

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  • Sept. 15, 2016, 8:32 p.m.

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Hefley, Velton Wade. The Classical Limit of Quantum Mechanics, thesis, December 1977; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc504591/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .