Orthogonal polynomials and deformed oscillators

Abstract

We discuss the construction of oscillator-like systems associated with orthogonal polynomials on the example of the Fibonacci oscillator. In addition, we consider the dimension of the corresponding lie algebras.

12 pages Submited to TMF based on the talk on conference "In search of fundamental symmetries" dedicated to 90-anniversary of Yu.V Novozilov

References in corpus (3)

• Generalized Heisenberg algebras and k-generalized Fibonacci numbers
• One Parameter Generalizations of the Fibonacci and Lucas Numbers
• The dying rabbit problem revisited