Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential

DOI10.1051/mmnp/20105402zbMath1207.47041OpenAlexW2103067662MaRDI QIDQ3576314

V. A. Sloushch, Mikhail Sh. Birman

Publication date: 30 July 2010

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197667

zbMATH Keywords

discrete spectrumperiodic Schrödinger operatorspectral gapsasymptotics in the large coupling constant limit

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Integral operators (47G10)

Related Items (8)

Eigenvalues of a periodic Schrödinger operator perturbed by a fast decaying potential ⋮ Discrete spectrum of a periodic Schrödinger operator perturbed by a rapidly decaying potential ⋮ Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains ⋮ A positive density analogue of the Lieb-Thirring inequality ⋮ Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph ⋮ Discrete spectrum of a periodic Schrödinger operator with variable metric perturbed by a nonnegative rapidly decaying potential ⋮ Approximate commutativity for a decaying potential and a function of an elliptic operator ⋮ On the mathematical work of M. Sh. Birman

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