 Polynomial method for canonical calculationsN.K. Kuzmenko and V.M. Mikhajlov Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 283-297 Abstract: A practical version of the polynomial canonical formalism is developed for normal mesoscopic systems consisting of N noninteracting electrons. Drastic simplification of calculations is attained by means of a proper ordering of excited states of the system. It results in that the exact canonical partition function can be represented as a series in which the first term corresponds to the ground state whereas successive groups of terms belong to many particle–hole excitations (one particle–hole, two particle–hole and so on). The number of terms which should be taken into account weakly depends on N and does not exceed 2kBT/δF (δF is the mean level spacing near the Fermi level). The elaborated method is free from limitations on N and T and makes the canonical calculations practically not more complicated than the grand canonical ones. Keywords: Canonical vs grand canonical calculations; Mesoscopic systems (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:283-297 DOI: 10.1016/j.physa.2006.05.048 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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