anharmonic systems 1gaussian approximation 1partition function 1quantum oscillators 1thermodynamics 1
From the 1 of 3 linked papers with an AI index.
3 papers
cond-mat.stat-mech2026
Thermodynamics of quantum oscillators
Michel Caffarel
The paper presents an analytical, temperature‑dependent Gaussian approximation for the quantum partition function of arbitrary collections of quantum oscillators, achieving typical…
quant-ph2024
Analytic Model for the Energy Spectrum of the Anharmonic Oscillator
Michel Caffarel
In a recent work we have proposed an original analytic expression for the partition function of the quartic oscillator. This partition function, which has a simple and compact form…
quant-ph2024
Path integral for the quartic oscillator: An accurate analytic formula for the partition function
Michel Caffarel
In this work an approximate analytic expression for the quantum partition function of the quartic oscillator described by the potential is pre…