A semiclassical trace formula for the canonical partition function of one-dimensional systems

Fernando Parisio and M.A.M. de Aguiar

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 211-225

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.

Keywords: Semiclassical limit; Partition function; Tunneling; Spin (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:211-225

DOI: 10.1016/j.physa.2007.02.113

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