2006/12/21 by V. V. Borzov, Borzov, V. V., E. V. Damaskinsky +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Quantum Algebra (math.QA) #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.math-ph/0612071
openalex publication_date 2006/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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