Harmonic Oscillator in Characteristic p

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dc.creatorKochubei, Anatoly N.
dc.date1997-10-01
dc.date.accessioned2026-07-07T05:57:37Z
dc.date.available2026-07-07T05:57:37Z
dc.descriptionWe construct an irreducible representation of the canonical commutation relations by operators on a certain Banach space over a local field of characteristic p. The Carlitz polynomials forming the basis of the space are shown to be the counterparts of the Hermite functions for this situation. The analogues of coherent states are related to the Carlitz exponential.
dc.description9 pages, AMS-LaTex
dc.identifierhttps://arxiv.org/abs/q-alg/9710001
dc.identifierhttp://arxiv.org/abs/q-alg/9710001
dc.identifierLett.Math.Phys. 45 (1998) 11-20
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88049
dc.subjectQuantum Algebra
dc.titleHarmonic Oscillator in Characteristic p
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