On a reflection coefficient for the Schrödinger operator with a smooth potential

Authors

  • Z.M. Gladka

DOI:

https://doi.org/10.15407/dopovidi2014.09.007

Keywords:

reflection coefficient, Schrödinger operator

Abstract

The decaying properties of the reflection coefficients are studied for the Schrödinger operator with a smooth steplike potential depending on the number of derivatives of the potential and its speed of tending to its background asymptotics.

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References

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Bazargan J. Dopov. Nac. akad. nauk Ukr., 2008, No 4: 7–11 (in Russian).

Marchenko V. A. Sturm–Liouville operators and applications, Basel: Birkhauser, 1986. https://doi.org/10.1007/978-3-0348-5485-6

Buslaev V. S., Fomin V. N. Vestn. Leningr. un-ta, 1962, 17, No 1: 56–64 (in Russian).

Published

06.03.2025

How to Cite

Gladka, Z. (2025). On a reflection coefficient for the Schrödinger operator with a smooth potential . Reports of the National Academy of Sciences of Ukraine, (9), 7–12. https://doi.org/10.15407/dopovidi2014.09.007