On models of certain p,q-algebra representations: The p,q-oscillator algebra

2008 ◽  
Vol 49 (5) ◽  
pp. 053504 ◽  
Author(s):  
Vivek Sahai ◽  
Sarasvati Yadav
Keyword(s):  
Oscillator Algebra

scholarly journals Models of q‐algebra representations: Matrix elements of the q‐oscillator algebra

1993 ◽  
Vol 34 (11) ◽  
pp. 5333-5356 ◽  
Author(s):  
E. G. Kalnins ◽  
Willard Miller ◽  
Sanchita Mukherjee
Keyword(s):  
Oscillator Algebra ◽  
Matrix Elements

Automorphisms of the q-oscillator algebra and basic orthogonal polynomials

1993 ◽  
Vol 180 (6) ◽  
pp. 393-401 ◽  
Author(s):  
Roberto Floreanini ◽  
Luc Vinet
Keyword(s):  
Orthogonal Polynomials ◽  
Oscillator Algebra

Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states

2019 ◽  
Vol 17 (02) ◽  
pp. 2050021
Author(s):  
H. Fakhri ◽  
S. E. Mousavi Gharalari
Keyword(s):  
Harmonic Oscillator ◽  
Generating Function ◽  
Coherent States ◽  
Finite Interval ◽  
Hermite Polynomials ◽  
Oscillator Algebra ◽  
Text Representation ◽  
Ladder Operators ◽  
Recursion Relations ◽  
Wilson Operator

We use the recursion relations of the continuous [Formula: see text]-Hermite polynomials and obtain the [Formula: see text]-difference realizations of the ladder operators of a [Formula: see text]-oscillator algebra in terms of the Askey–Wilson operator. For [Formula: see text]-deformed coherent states associated with a disc in the radius [Formula: see text], we obtain a compact form in [Formula: see text]-representation by using the generating function of the continuous [Formula: see text]-Hermite polynomials, too. In this way, we obtain a [Formula: see text]-difference realization for the [Formula: see text]-oscillator algebra in the finite interval [Formula: see text] as a [Formula: see text]-generalization of known differential formalism with respect to [Formula: see text] in the interval [Formula: see text] of the simple harmonic oscillator.

scholarly journals Generalizedq-deformed Tamm-Dancoff oscillator algebra and associated coherent states

2014 ◽  
Vol 55 (8) ◽  
pp. 081702 ◽  
Author(s):  
Won Sang Chung ◽  
Mahouton Norbert Hounkonnou ◽  
Sama Arjika
Keyword(s):  
Coherent States ◽  
Oscillator Algebra

scholarly journals Self-similar potentials and theq-oscillator algebra at roots of unity

1993 ◽  
Vol 28 (1) ◽  
pp. 59-74 ◽  
Author(s):  
Sergei Skorik ◽  
Vyacheslav Spiridonov
Keyword(s):  
Roots Of Unity ◽  
Oscillator Algebra ◽  
Self Similar
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