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Bibliographic Details
Main Author: Cui, Bingyu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.06152
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Table of Contents:
  • In classical statistical mechanics, the partition function is defined in phase space. We extend this concept to quantum statistical mechanics using Bohmian trajectories. The quantum partition function in phase space captures the ensemble of positions and momenta, along with the probability distribution that accounts for the inherent uncertainty in measuring particle locations. Within this framework, the quantum-to-classical transition arises naturally, maintaining consistency between dynamics and statistical mechanics.