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arXiv · 2009.00671

Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator

V. V. Borzov·E. V. Damaskinsky
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Abstract

We study a generalized Chebyshev oscillator [1] associated with a point interaction for the discrete Schr\"odinger equation. Our goal is to find a realization of the annihilation operator for this oscillator by a differential operator. This realization can be used to obtain a differential equation for the corresponding generalized Chebyshev polynomials [2]. This report is a continuation of our work [1], [3].

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V. V. Borzov, E. V. Damaskinsky. 2020-09-01. Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator. https://arxiv.org/abs/2009.00671

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