The generalized Hamilton principle and non-Hermitian quantum theory
- URL: http://arxiv.org/abs/2110.04524v1
- Date: Sat, 9 Oct 2021 09:29:06 GMT
- Title: The generalized Hamilton principle and non-Hermitian quantum theory
- Authors: Xiang-Yao Wu, Ben-Shan Wu, Meng Han, Ming-Li Ren, Heng-Mei Li,
Hong-Chun Yuan, Hong Li and Si-Qi Zhang
- Abstract summary: The Hamilton principle is a variation principle describing the isolated and conservative systems.
By Feynman path integration, we can obtain the Hermitian quantum theory, i.e., the standard Schrodinger equation.
- Score: 7.151354616862258
- License: http://creativecommons.org/licenses/by/4.0/
- 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
Hermitian quantum theory, i.e., the standard Schrodinger equation. In this
paper, we have given the generalized Hamilton principle, which can describe the
open system (mass or energy exchange systems) and nonconservative force systems
or dissipative systems. On this basis, we have given the generalized Lagrange
function, it has to do with the kinetic energy, potential energy and the work
of nonconservative forces to do. With the Feynman path integration, we have
given the non-Hermitian quantum theory of the nonconservative force systems.
Otherwise, we have given the generalized Hamiltonian function for the particle
exchanging heat with the outside world, which is the sum of kinetic energy,
potential energy and thermal energy, and further given the equation of quantum
thermodynamics.
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