A Method for Deriving Quantum Dynamic Equations from Classical Mechanics
American Journal of Physics and Applications
Volume 5, Issue 6, November 2017, Pages: 80-83
Received: Aug. 14, 2017; Accepted: Sep. 6, 2017; Published: Oct. 11, 2017
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Hua Ma, The College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China
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Based on the operator theories and Hamiltonian canonical equation, an operator based quantum dynamics equation is established, which has the same effect as the Hamiltonian equation in describing the state evolution of quantized dynamical systems. As the reasonable verification of this equation, Schrodinger equation can be derived theoretically, and the variational principle properties of quantum mechanics are revealed. This work will help to promote the development of quantum theory and to perfect the axiomatic system of quantum mechanics.
Classical Mechanics, Quantum Mechanics, Variational Principle, Hamiltonian Canonical Equation, Schrodinger Equation, Operator Theory
To cite this article
Hua Ma, A Method for Deriving Quantum Dynamic Equations from Classical Mechanics, American Journal of Physics and Applications. Vol. 5, No. 6, 2017, pp. 80-83. doi: 10.11648/j.ajpa.20170506.11
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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