Lattice computation of energy moments in canonical and Gaussian quantum statistics

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dc.creatorLukkarinen, Jani
dc.date2000-01-24
dc.date.accessioned2026-07-07T10:51:34Z
dc.date.available2026-07-07T10:51:34Z
dc.descriptionWe derive a lattice approximation for a class of equilibrium quantum statistics describing the behaviour of any combination and number of bosonic and fermionic particles with any sufficiently binding potential. We then develop an intuitive Monte Carlo algorithm which can be used for the computation of expectation values in canonical and Gaussian ensembles and give lattice observables which will converge to the energy moments in the continuum limit. The focus of the discussion is two-fold: in the rigorous treatment of the continuum limit and in the physical meaning of the lattice approximation. In particular, it is shown how the concepts and intuition of classical physics can be applied in this sort of computation of quantum effects. We illustrate the use of the Monte Carlo methods by computing canonical energy moments and the Gaussian density of states for charged particles in a quadratic potential.
dc.description23 pages, 1 figure, uses iopart.cls and epsf.sty
dc.identifierhttps://arxiv.org/abs/cond-mat/0001349
dc.identifierhttp://arxiv.org/abs/cond-mat/0001349
dc.identifierJ.Phys.A33:4227-4248,2000
dc.identifierdoi:10.1088/0305-4470/33/23/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184864
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleLattice computation of energy moments in canonical and Gaussian quantum statistics
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