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

Autor:	Borzov, V. V., Damaskinsky, E. V.
Rok vydání:	2020
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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]. Comment: 28 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.00671 Zobrazit plný text záznamu View this record from Arxiv