Asymptotic formulas for the eigenvalues of a periodic Schrödinger operator and the Bethe-Sommerfeld conjecture

DOI10.1007/BF01078022zbMath0638.47049WikidataQ123087091 ScholiaQ123087091MaRDI QIDQ1099396

Oktay A. Veliev

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorperiodic Schrödinger operatorBethe-Sommerfeld conjectureasymptotic formulas for the eigenvalues

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• Remark on the spectrum structure of the two-dimensional Schrödinger operator with the periodic potential
• The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential
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