Meixner Oscillators
Atakishiyev, Natig M. ; Jafarov, Elchin I. ; Nagiev, Shakir M. ; Wolf, Kurt B.
arXiv, 9807035 / Harvested from arXiv
Text on arXiv
Meixner 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.
Publié le : 1998-07-31
Classification:  Mathematical Physics,  High Energy Physics - Lattice,  High Energy Physics - Theory 
@article{9807035,
     author = {Atakishiyev, Natig M. and Jafarov, Elchin I. and Nagiev, Shakir M. and Wolf, Kurt B.},
     title = {Meixner Oscillators},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807035}
}

Atakishiyev, Natig M.; Jafarov, Elchin I.; Nagiev, Shakir M.; Wolf, Kurt B. Meixner Oscillators. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807035/