Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes

DOI10.1134/S000143460803019XzbMath1152.35452MaRDI QIDQ2517997

V. V. Grushin

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptoticseigenvalue problemSchrödinger operatorLaplace operatorsmall perturbationDirichlet conditionthin closed tube

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (6)

The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip ⋮ Multiparameter perturbation theory of Fredholm operators applied to Bloch functions ⋮ Magnetic effects in curved quantum waveguides ⋮ Quantum waveguides with magnetic fields ⋮ On an extension of the Iwatsuka model ⋮ Planar waveguide with “twisted” boundary conditions: Small width

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