GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION
2010 ◽
Vol 25
(15)
◽
pp. 1239-1249
◽
Keyword(s):
The aim of this paper is the study of the generalized deformed quantum oscillators in the framework (q; α, β, γ; ν)-deformed of oscillator algebra. By selecting the special values of deformation parameters, we have separated a generalized deformed oscillator connected with generalized discrete Hermite II polynomials. By these means we have constructed Barut–Girardello type coherent states of this oscillator. We have found the conditions on the (q; α, β, γ; ν)-deformation parameters at which the free (q; α, β, γ; ν)-deformed oscillator approximate the usual anharmonic oscillator in the homogeneous Kerr medium.
2006 ◽
Vol 20
(16)
◽
pp. 2313-2322
◽
2016 ◽
pp. 103-120
2019 ◽
Vol 34
(14)
◽
pp. 1950104
◽
2019 ◽
Vol 17
(02)
◽
pp. 2050021
2006 ◽
Vol 20
(11n13)
◽
pp. 1458-1464
◽
2001 ◽
Vol 15
(18)
◽
pp. 2465-2483
◽