Asymptotic formulas for the eigenvalues of a schrödinger operator
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Özet (EN)
ABSTRACT The multidimensional Schrödinger operator is a fundamental operator of quantum mechanics. We consider the Schrödinger operator Lu = -Au + q(x)u in the parallelepiped F with Neumann boundary condition du dn = 0 OF where q(x) is a periodic function of Wl2 (F). First we study the general property of L and its connection with other boundary conditions. Then we obtain asymptotic formulas for the eigenvalues of the operator L.
Yazar
Sedef Erim
Bu Yayına Nasıl Atıf Yapılır
Sedef Erim (Master Thesis). Asymptotic formulas for the eigenvalues of a schrödinger operator, 2000, Dokuz Eylül University.
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