Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions

被引：4

作者：

Karakiliç, S

Atilgan, S

Veliev, OA

机构：

[1] Dokuz Eylul Univ, Fac Art & Sci, Dept Math, TR-35160 Izmir, Turkey

[2] Izmir Inst Technol, Fac Sci, Dept Math, Izmir, Turkey

[3] Dogus Univ Acibadem, Dept Sci, TR-81010 Istanbul, Turkey

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2005年 / 55卷 / 02期

关键词：

perturbation; Dirichlet and Neumann boundary conditions; Schrodinger operator;

D O I：

10.1016/S0034-4877(05)80029-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the Schrodinger operators defined by the differential expression Lu = -Delta u+q(x)u in d-dimensional parallelepiped F, with the Dirichlet and Neumann boundary conditions, and obtain the asymptotic formulae for the eigenvalues of these operators.

引用

页码：221 / 239

页数：19

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