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Non-relativistic quantum theory at finite temperature

2012/12/06 by Xiang-Yao Wu, Bo-Jun Zhang, Xiao-Jing Liu +6
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1007/s10773-013-1547-x

arXiv admin note: text overlap with arXiv:hep-th/0506258 by other authors without attribution

arxiv created 2012/12/06 · arxiv updated 2015/06/12

Abstract

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.

Citations