Representations of the Heisenberg algebra by difference operators

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dc.creatorGorski, Andrzej Z.
dc.creatorSzmigielski, Jacek
dc.date1998-08-19
dc.date.accessioned2026-07-07T04:24:57Z
dc.date.available2026-07-07T04:24:57Z
dc.descriptionWe construct a class of representations of the Heisenberg algebra in terms of the complex shift operators subject to the proper continuous limit imposed by the correspondence principle. We find a suitable Hilbert space formulation of our construction for two types of shifts: (1) real shifts, (2) purely imaginary shifts. The representations involving imaginary shifts are free of spectrum doubling. We determine the corresponding coordinate and momentum operators satisfying the canonical commutation relations. The eigenvalues of the coordinate operator are in both cases discrete.
dc.description10 pages, LaTeX+RevTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9808112
dc.identifierhttp://arxiv.org/abs/hep-th/9808112
dc.identifierActa Phys.Polon. B31 (2000) 789-799
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55612
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleRepresentations of the Heisenberg algebra by difference operators
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