Models for the irreducible representation of a Heisenberg group

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dc.creatorDigernes, T.
dc.creatorVaradarajan, V. S.
dc.date2004-09-17
dc.date2004-09-23
dc.date.accessioned2026-07-07T05:12:14Z
dc.date.available2026-07-07T05:12:14Z
dc.descriptionIn its most general formulation a quantum kinematical system is described by a Heisenberg group; the "configuration space" in this case corresponds to a maximal isotropic subgroup. We study irreducible models for Heisenberg groups based on compact maximal isotropic subgroups. It is shown that if the Heisenberg group is 2-regular, but the subgroup is not, the "vacuum sector" of the irreducible representation exhibits a fermionic structure. This will be the case, for instance, in a quantum mechanical model based on the 2-adic numbers with a suitably chosen isotropic subgroup. The formulation in terms of Heisenberg groups allows a uniform treatment of p-adic quantum systems for all primes p, and includes the possibility of treating adelic systems.
dc.description14 pages, 1 figure. To be published in "Infinite Dimensional Analysis, Quantum Probability and Related Topics" (IDAQP). Added 2 references
dc.identifierhttps://arxiv.org/abs/math/0409299
dc.identifierhttp://arxiv.org/abs/math/0409299
dc.identifier"Infinite Dimensional Analysis, Quantum Probability and Related Topics", Volume 7, no. 4, December 2004, 527-546.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72508
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R99 (Primary) 20K10, 20K35 (Secondary)
dc.titleModels for the irreducible representation of a Heisenberg group
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