Orthogonal polynomials and deformed oscillators
V.V. Borzov, E.V. Damaskinsky
TL;DR
This paper explores the construction of oscillator-like systems linked to orthogonal polynomials, exemplified by the Fibonacci oscillator, and examines the structure of their associated Lie algebras.
Contribution
It introduces a method to construct oscillator systems based on orthogonal polynomials and analyzes the algebraic properties of these systems, specifically focusing on the Fibonacci oscillator.
Findings
Constructed oscillator-like systems from orthogonal polynomials.
Analyzed the Lie algebra dimensions associated with these systems.
Provided insights into the algebraic structure of Fibonacci 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.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Mathematical functions and polynomials