Non-relativistic quantum theory at finite temperature

Xiang-Yao Wu, Bo-Jun Zhang, Xiao-Jing Liu, Si-Qi Zhang, Jing Wang, Hong Li, Nou Ba, Li Xiao, Yi-Heng Wu

Published 2012-12-01, updated 2012-12-06Version 2

We propose the non-relativistic finite temperature quantum wave equations for a single particle and multiple particles. We give the relation between energy eigenvalues, eigenfunctions, transition frequency and temperature, and obtain some results: (1) when the degeneracies of two energy levels are same, the transition frequency between the two energy levels is unchanged when the temperature is changed. (2) When the degeneracies of two energy levels are different, the variance of transition frequency at two energy levels is direct proportion to temperature difference.