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- Title
Local Perturbation of the Discrete Schrödinger Operator and a Generalized Chebyshev Oscillator.
- Authors
Borzov, V. V.; Damaskinsky, E. V.
- Abstract
We discuss the conditions under which a special linear transformation of the classical Chebyshev polynomials (of the second kind) generate a class of polynomials related to "local perturbations" of the coefficients of a discrete Schrödinger equation. These polynomials are called generalized Chebyshev polynomials. We answer this question for the simplest class of "local perturbations" and describe a generalized Chebyshev oscillator corresponding to generalized Chebyshev polynomials.
- Subjects
CHEBYSHEV polynomials; JACOBI operators; SCHRODINGER operator; ORTHOGONAL polynomials; POLYNOMIALS; SCHRODINGER equation
- Publication
Theoretical & Mathematical Physics, 2019, Vol 200, Issue 3, p1348
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577919090083