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

2020/09/01 by V. V. Borzov, Borzov, V. V., E. V. Damaskinsky +1
Physics and Astronomy · Engineering · #Optical and Acousto-Optic Technologies #Quantum Mechanics and Non-Hermitian Physics #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.2009.00671

Abstract

We study a generalized Chebyshev oscillator [1] associated with a point interaction for the discrete Schrödinger 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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