Asymptotics of the spectrum of the Schrödinger operator perturbed by a rapidly oscillating periodic potential

DOI10.1134/S1064562406010054zbMath1155.34368OpenAlexW2040918305MaRDI QIDQ1005436

Denis I. Borisov

Publication date: 9 March 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406010054

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

• The bound state of weakly coupled Schrödinger operators in one and two dimensions
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