A semiclassical trace formula for the canonical partition function of one dimensional systems
arXiv:quant-ph/0607140 · doi:10.1016/j.physa.2007.02.113
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.
22 pages, 4 figures new section with applications to spin systems
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