Al-Salam-Chihara models of quantum oscillator |
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Authors: | N.M. Atakishiyev |
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Affiliation: | a Instituto de Matemáticas, Universidad Nacional Autónoma de México, Cuernavaca 62210, Mexico b Bogoliubov Institute for Theoretical Physics, Kiev 03680, Ukraine |
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Abstract: | Models of the quantum oscillator, based on Al-Salam-Chihara orthogonal q-polynomials, are constructed. The position and momentum operators have the continuous simple spectra, covering a finite interval. Eigenfunctions of these operators are explicitly defined. The evolution operator is an integral operator with a kernel, whose explicit form is also derived. |
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Keywords: | 02.10.Tq 02.30.Gp 02.30.Tb 03.65.Dp |
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