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.
| Published in | American Journal of Physics and Applications (Volume 5, Issue 6) |
| DOI | 10.11648/j.ajpa.20170506.11 |
| Page(s) | 80-83 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Classical Mechanics, Quantum Mechanics, Variational Principle, Hamiltonian Canonical Equation, Schrodinger Equation, Operator Theory
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APA Style
Hua Ma. (2017). A Method for Deriving Quantum Dynamic Equations from Classical Mechanics. American Journal of Physics and Applications, 5(6), 80-83. https://doi.org/10.11648/j.ajpa.20170506.11
ACS Style
Hua Ma. A Method for Deriving Quantum Dynamic Equations from Classical Mechanics. Am. J. Phys. Appl. 2017, 5(6), 80-83. doi: 10.11648/j.ajpa.20170506.11
AMA Style
Hua Ma. A Method for Deriving Quantum Dynamic Equations from Classical Mechanics. Am J Phys Appl. 2017;5(6):80-83. doi: 10.11648/j.ajpa.20170506.11
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Download@article{10.11648/j.ajpa.20170506.11,
author = {Hua Ma},
title = {A Method for Deriving Quantum Dynamic Equations from Classical Mechanics},
journal = {American Journal of Physics and Applications},
volume = {5},
number = {6},
pages = {80-83},
doi = {10.11648/j.ajpa.20170506.11},
url = {https://doi.org/10.11648/j.ajpa.20170506.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20170506.11},
abstract = {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.},
year = {2017}
}
TY - JOUR T1 - A Method for Deriving Quantum Dynamic Equations from Classical Mechanics AU - Hua Ma Y1 - 2017/10/11 PY - 2017 N1 - https://doi.org/10.11648/j.ajpa.20170506.11 DO - 10.11648/j.ajpa.20170506.11 T2 - American Journal of Physics and Applications JF - American Journal of Physics and Applications JO - American Journal of Physics and Applications SP - 80 EP - 83 PB - Science Publishing Group SN - 2330-4308 UR - https://doi.org/10.11648/j.ajpa.20170506.11 AB - 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. VL - 5 IS - 6 ER -
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