Open AccessLattice approximation of quantum statistical traces at a complex temperature
Author(s) -
Jani Lukkarinen
Publication year - 1998
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.532459
Subject(s) - bounded function , lattice (music) , mathematics , quantum , trace (psycholinguistics) , combinatorics , trace class , quantum mechanics , mathematical physics , physics , discrete mathematics , statistical physics , pure mathematics , mathematical analysis , linguistics , philosophy , acoustics , hilbert space
We prove that the simple condition on the potential V, \int exp(-t V) <\infty for all t>0, is sufficient for the lattice approximation of the traceTr[A exp(-b H)] with (Re b)>0 to work for all bounded functions A and a largeclass of potentials. As a by-product we obtain an explicit bound for thereal-temperature lattice kernels.Comment: 9 pages revtex with amste
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