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From Generalized Hamilton Principle to Generalized Schrodinger Equation
Institute of Physics, Jilin Normal University, Siping, China
Institute of Physics, Jilin Normal University, Siping, China
Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun, China
Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun, China
- 1 Institute of Physics, Jilin Normal University, Siping, China
- 2 Institute of Physics, Jilin Normal University, Siping, China
- 3 Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun, China
- 4 Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun, China
Journal of Modern Physics·Volume 14 (2023)·Pages 676–691·Published 12 April 2023·DOI10.4236/jmp.2023.145039
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Abstract
The Hamilton principle is a variation principle describing the isolated and conservative systems, its Lagrange function is the difference between kinetic energy and potential energy. By Feynman path integration, we can obtain the standard Schrodinger equation. In this paper, we have given the generalized Hamilton principle, which can describe the heat exchange system, and the nonconservative force system. On this basis, we have further given their generalized Lagrange functions and Hamilton functions. With the Feynman path integration, we have given the generalized Schrodinger equation of nonconservative force system and the heat exchange system.
KeywordsGeneralized Hamilton PrincipleNonconservative SystemsThermodynamic SystemGeneralized Schrodinger Equation
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