A semiclassical trace formula for the canonical partition function of one dimensional systems
Quantum Physics
2007-05-23 v2
Abstract
We present a semiclassical trace formula for the canonical partition function of arbitrary one-dimensional systems. The approximation is obtained via the stationary exponent method applied to the phase-space integration of the density operator in the coherent state representation. The formalism is valid in the low temperature limit, presenting accurate results in this regime. As illustrations we consider a quartic Hamiltonian that cannot be split into kinetic and potential parts, and a system with two local minima. Applications to spin systems are also presented.
Cite
@article{arxiv.quant-ph/0607140,
title = {A semiclassical trace formula for the canonical partition function of one dimensional systems},
author = {Fernando Parisio and M. A. M. de Aguiar},
journal= {arXiv preprint arXiv:quant-ph/0607140},
year = {2007}
}
Comments
22 pages, 4 figures new section with applications to spin systems