Coherent states of Krawtchouk oscillator and beyond

Details Coherent states of Krawtchouk oscillator and beyond Coherent states of Krawtchouk oscillator and beyond

2006-12-21

arxiv.org/abs/math-ph/0612071v1

Physics

Mathematical Physics

To be published in Day on Diffraction 2006

Scientific paper

In the frame of our approach we constructed the generalized oscillator connected with Krawtchouk polynomials (named Krawtchouk oscillator) and coherent states for this oscillator too. Ours results are compared with analogues ones obtained for another variant of Krawtchouk oscillator in the paper [N.M.Atakishiev and S.K.Suslov, Difference analogs of the harmonic oscillator, Teor. Mat. Fiz., 85, 64-73 (1990)] from other point of view. Our definition of coherent states is close to one given in [B.Roy and P.Roy, Phase properties of a new nonlinear coherent state, quant-ph/0002043] This investigation is partially supported by RFBR grant No 06-01-00451

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