Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions
| Autor: | Şirin Atılgan, Sedef Karakiliç, Oktay A. Veliev |
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| Přispěvatelé: | Doğuş Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, TR143963, TR114692, TR55504, Atılgan, Şirin, Izmir Institute of Technology. Mathematics |
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Dirichlet conditions
Mathematical analysis Statistical and Nonlinear Physics Dirichlet and Neumann Boundary Conditions Mathematics::Spectral Theory Perturbation symbols.namesake Von Neumann's theorem Dirichlet eigenvalue Dirichlet and Neumann boundary conditions Dirichlet's principle Dirichlet boundary condition Spectrum Neumann boundary condition symbols Schrodinger operator Schrodinger Operator Boundary value problem Affiliated operator Mathematical Physics Mathematics |
| Popis: | In this paper, we consider the Schrodinger operators defined by the differential expression Lu = − 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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