Geodesic
Orthogonal polynomials and deformed oscillators
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 68-76

Voir la notice de l'article provenant de la source Math-Net.Ru

In the example of the Fibonacci oscillator, we discuss the construction of oscillator-like systems associated with orthogonal polynomials. We also consider the question of the dimensions of the corresponding Lie algebras.
Keywords: generalized oscillator, Fibonacci number, algebra of oscillator-like systems.
Mots-clés : orthogonal polynomial 
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     author = {V. V. Borzov and E. V. Damaskinsky},
     title = {Orthogonal polynomials and deformed oscillators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a5/}
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V. V. Borzov; E. V. Damaskinsky. Orthogonal polynomials and deformed oscillators. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 68-76. http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a5/