Statistical Theory of 2-Dimensional Quantum Vortex Gas: Non-Canonical Effect and Generalized Zeta Function

Simple item page
dc.creatorONO, Hideki
dc.creatorKURATSUJI, Hiroshi
dc.date1994-11-01
dc.date.accessioned2026-07-07T03:07:30Z
dc.date.available2026-07-07T03:07:30Z
dc.descriptionThe purpose of this paper is to present a quantum statistical theory of 2-dimensional vortex gas based on the generalized Hamiltonian dynamics recently developed. The quantized spectrum is evaluated for a pair of vortex on the basis of the semiclassical quantization rule. This is used to evaluate the partition function for a dilute vortex gas. A remarkable consequence is that the partition function and related quantities are given in terms of the generalized Riemann zeta function. The topological phase transition is naturally understood as the pole structure of the zeta function.
dc.description11 pages, RevTeX v3.0
dc.identifierhttps://arxiv.org/abs/cond-mat/9411004
dc.identifierhttp://arxiv.org/abs/cond-mat/9411004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27193
dc.subjectCondensed Matter
dc.titleStatistical Theory of 2-Dimensional Quantum Vortex Gas: Non-Canonical Effect and Generalized Zeta Function
dc.typetext

Files

Collections

arXiv