Asymptotic formulae for the Bloch eigenvalues near planes of diffraction

DOI10.1016/S0034-4877(06)80964-XzbMath1125.35025OpenAlexW2019720064MaRDI QIDQ2456624

Oktay A. Veliev

Publication date: 19 October 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(06)80964-x

zbMATH Keywords

perturbationSchrödinger operatorBloch eigenvalue

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Asymptotic behaviour of resonance eigenvalues of the Schrödinger operator with a matrix potential

Cites Work

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• Structure of the spectrum of the periodic Schrödinger operator on the Euclidean torus
• Asymptotic formulas for the eigenvalues of a periodic Schrödinger operator and the Bethe-Sommerfeld conjecture
• Perturbatively unstable eigenvalues of a periodic Schrödinger operator
• Perturbation formulae for the Schrödinger operator with a periodic potential near planes of diffraction
• Perturbation series for the Schrödinger operator with a periodic potential near planes of diffraction

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