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

Karakilic S., Atilgan S., Veliev O.

REPORTS ON MATHEMATICAL PHYSICS, vol.55, no.2, pp.221-239, 2005 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1016/s0034-4877(05)80029-1
  • Journal Name: REPORTS ON MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.221-239
  • Keywords: perturbation, Dirichlet and Neumann boundary conditions, Schrodinger operator, SPECTRUM
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.