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

dc.creatorParisio, Fernando
dc.creatorde Aguiar, M. A. M.
dc.date2006-07-20
dc.date2006-09-05
dc.date.accessioned2026-07-07T08:01:06Z
dc.date.available2026-07-07T08:01:06Z
dc.descriptionWe 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.
dc.description22 pages, 4 figures new section with applications to spin systems
dc.identifierhttps://arxiv.org/abs/quant-ph/0607140
dc.identifierhttp://arxiv.org/abs/quant-ph/0607140
dc.identifierPhysica A 380 (2007) 211
dc.identifierdoi:10.1016/j.physa.2007.02.113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128844
dc.subjectQuantum Physics
dc.titleA semiclassical trace formula for the canonical partition function of one dimensional systems
dc.typetext

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