Extension of the quantum virial and Hellmann-Feynman theorems to the quantum statistical averages

摘要

In the present article, we extended the quantum virial and Hellmann-Feynman theorems to the quantum statistical averages, that is, to the thermal states. We obtained some new formulas which make possible expressing the thermodynamical observables of the system as functions of the moments of coordinates, as we see in a short example relating to the pseudoharmonical oscillator. (C) 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 159-165, 1998. [References: 11]