Adiabatic Variations of Quantum Heat of a quantum body

TL;DR

This paper introduces a new theorem generalizing the Hellmann-Feynman theorem, enabling precise derivation of electronic heat variations in quantum systems and aligning quantum thermodynamics with classical principles.

Contribution

It presents a novel theorem that extends the Hellmann-Feynman theorem for quantum thermodynamics applications, facilitating ab initio modeling of electronic heat variations.

Findings

The new theorem accurately describes electronic heat variations.

It aligns quantum thermodynamics with classical thermodynamic principles.

Enables improved quantum modeling of thermodynamical states.

Abstract

In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a quantum system allows to derive strightly the electronic Heat variations of a quantum electronic system, in its condensed phase of eigenstates, showing its agreement with classical thermodynamics, making then possible to desing ab inito quantum models of the electronic structure in its thermodynamical states.