Trotter formula and thermodynamic limits
Physics Education
2007-05-23 v1 General Physics
Abstract
We discuss the interchangeability of the thermodynamic limit \beta \to \infty and the infinite limit of the Trotter number n \to \infty when Trotter formula e^{H_{0}+V} =\lim_{n \to \infty} (e^{H_{0}/n} e^{V/n}) is used to calculate partition functions with Hamiltonians of the form H=H_{0}+V.
Cite
@article{arxiv.physics/0202003,
title = {Trotter formula and thermodynamic limits},
author = {Oscar Bolina},
journal= {arXiv preprint arXiv:physics/0202003},
year = {2007}
}
Comments
latex, 3 pages