Spectrum of Schrödinger Operator in Covering of Elliptic Ring.

Autor: Nikulin, M. A.
Zdroj: Moscow University Mathematics Bulletin; Oct2023, Vol. 78 Issue 5, p230-243, 14p
Abstrakt: The stationary Schrödinger equation is studied in a domain bounded by two confocal ellipses and in its coverings. The order of dependence of the Laplace operator eigenvalues on sufficiently small distance between the foci is obtained. Coefficients of the power series expansion of said eigenvalues are calculated up to and including the square of half the focal distance. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index