Meixner Oscillators

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dc.creatorAtakishiyev, Natig M.
dc.creatorJafarov, Elchin I.
dc.creatorNagiev, Shakir M.
dc.creatorWolf, Kurt B.
dc.date1998-07-31
dc.date.accessioned2026-07-07T04:32:28Z
dc.date.available2026-07-07T04:32:28Z
dc.descriptionMeixner oscillators have a ground state and an `energy' spectrum that is equally spaced; they are a two-parameter family of models that satisfy a Hamiltonian equation with a {\it difference} operator. Meixner oscillators include as limits and particular cases the Charlier, Kravchuk and Hermite (common quantum-mechanical) harmonic oscillators. By the Sommerfeld-Watson transformation they are also related with a relativistic model of the linear harmonic oscillator, built in terms of the Meixner-Pollaczek polynomials, and their continuous weight function. We construct explicitly the corresponding coherent states with the dynamical symmetry group Sp(2,$\Re$). The reproducing kernel for the wavefunctions of these models is also found.
dc.description18 pages, LaTex, published in "Revista Mexicana de Fisica", V.44, N3, pp. 235-244, 1998
dc.identifierhttps://arxiv.org/abs/math-ph/9807035
dc.identifierhttp://arxiv.org/abs/math-ph/9807035
dc.identifierRev.Mex.Fis. 44 (1998) 235-244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58204
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleMeixner Oscillators
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