Remark on the spectrum structure of the two-dimensional Schrödinger operator with the periodic potential

DOI10.1007/BF01087244zbMath0532.47035MaRDI QIDQ788983

V. N. Popov, Maxim M. Skriganov

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

period lattice of the potential in the Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (4)

Asymptotic formulas for the eigenvalues of a periodic Schrödinger operator and the Bethe-Sommerfeld conjecture ⋮ On sums of semibounded Cantor sets ⋮ Multiscale analysis in momentum space for quasi-periodic potential in dimension two ⋮ Extended states for polyharmonic operators with quasi-periodic potentials in dimension two

Cites Work

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