On position operator spectral measure for deformed oscillator in the case of indetermine Hamburger moment problem

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dc.creatorBorzov, V. V.
dc.creatorDamaskinsky, E. V.
dc.creatorKulish, P. P.
dc.date1998-03-22
dc.date.accessioned2026-07-07T05:24:09Z
dc.date.available2026-07-07T05:24:09Z
dc.descriptionThe spectral measure of the position (momentum) operator $X$ for $q$-deformed oscillator is calculated in the case of the indetermine Hamburger moment problem. The exposition is given for concrete choice of generators for $q$-oscillator algebra, although developed technique apply for every other cases with indetermine moment problem. The Stieltjes transformation $m(z)$ of spectral measure is expressed in terms of the entries of Jacobi matrix $X$ only. The direct connection between values of parameters labeling the spectral measures and related selfadjoint extensions of $X$ is established.
dc.description32 pages, LaTeX2e, amssymb,latexsym,amsfonts, no figures
dc.identifierhttps://arxiv.org/abs/math/9803099
dc.identifierhttp://arxiv.org/abs/math/9803099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76726
dc.subjectQuantum Algebra
dc.titleOn position operator spectral measure for deformed oscillator in the case of indetermine Hamburger moment problem
dc.typetext

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