Asymptotic Formulae for the Schrodinger Operator With Dirichlet and Neumann Boundary Conditions
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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.
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Keywords
perturbation, Dirichlet and Neumann boundary conditions, Schrodinger operator, Dirichlet and Neumann boundary conditions, Spectrum, Schrodinger operator, Schrodinger Operator, Dirichlet and Neumann Boundary Conditions, Perturbation
Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
2
Volume
55
Issue
2
Start Page
221
End Page
239
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4
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438
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