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

Karakilic, SEDEF; Atilgan, S; Veliev, OA

doi:10.1016/s0034-4877(05)80029-1

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

Karakilic S., Atilgan S., Veliev O.

REPORTS ON MATHEMATICAL PHYSICS, cilt.55, sa.2, ss.221-239, 2005 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 55 Sayı: 2
Basım Tarihi: 2005
Doi Numarası: 10.1016/s0034-4877(05)80029-1
Dergi Adı: REPORTS ON MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.221-239
Anahtar Kelimeler: perturbation, Dirichlet and Neumann boundary conditions, Schrodinger operator
Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.