Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions
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CitationKARAKILIÇ, 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. http://dx.doi.org/10.1016/S0034-4877(05)80029-1.
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.