Geodesic
Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 75-102 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a generalized Chebyshev oscillator [1] associated with a point interaction for the discrete Schrödinger operator. 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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     title = {Realization by a differential operator of the annihilation operator for generalized {Chebyshev} oscillator},
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V. V. Borzov; E. V. Damaskinskiy. Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 75-102. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a4/

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