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

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Elsevier

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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.

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Anahtar Kelimeler

Perturbation, Dirichlet and Neumann Boundary Conditions, Schrodinger Operator, Spectrum

Kaynak

Reports on Mathematical Physics

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Cilt

55

Sayı

2

Künye

KARAKILIÇ, S., ATILGAN, S., VELİEV, O.A. (2005). Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions. Reports on Mathematical Physics, Volume 55, Issue 2, pp. 221-239. https://dx.doi.org/10.1016/S0034-4877(05)80029-1.

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