V. V. Borzov, E. V. Damaskinsky, “Orthogonal polynomials and deformed oscillators”, TMF, 2015, Volume 185, Number 1,Pages <nobr>68

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Orthogonal polynomials and deformed oscillators

V. V. Borzov^a, E. V. Damaskinsky^b

^a St. Petersburg State University of Telecommunications, St. Petersburg, Russia
^b Military Institute (Technical Engineering), Military Academy for Material and Technical Support, St. Petersburg, Russia

Abstract: 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, orthogonal polynomial, Fibonacci number, algebra of oscillator-like systems.

DOI: 10.4213/tmf8903