  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.
