Sufficient Conditions for the Large Wave Phenomenon in the Schrödinger Equation with Discrete Spatial Variable

We obtain sufficient conditions for the large wave phenomenon in the discrete analogue of the Schrödinger equation. Unlike the case of mechanical chains, for eigenfrequencies there is a linear dependence over the field of rational numbers.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-02, Vol.269 (6), p.792-795
Main Author: Filimonov, A. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Resonant frequencies
Schrodinger equation
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Description
Summary:We obtain sufficient conditions for the large wave phenomenon in the discrete analogue of the Schrödinger equation. Unlike the case of mechanical chains, for eigenfrequencies there is a linear dependence over the field of rational numbers.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06316-1