Author(s)

Xiangyao Wu^1*, Benshan Wu¹, Hong Li², Qiming Wu¹

¹Institute of Physics, Jilin Normal University, Siping, China.
²Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun, China.

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.

Generalized Hamilton Principle, Nonconservative Systems, Thermodynamic System, Generalized Schrodinger Equation

Wu, X. , Wu, B. , Li, H. and Wu, Q. (2023) From Generalized Hamilton Principle to Generalized Schrodinger Equation. Journal of Modern Physics, 14, 676-691. doi: 10.4236/jmp.2023.145039.