Discrete spectrum of a periodic Schrödinger operator with variable metric perturbed by a nonnegative rapidly decaying potential

DOI10.1090/spmj/1388zbMath1409.35161OpenAlexW2336463607MaRDI QIDQ2786982

V. A. Sloushch

Publication date: 24 February 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1388

zbMATH Keywords

spectral gapdiscrete spectrumperiodic Schrödinger operatorasymptotics with respect to a large coupling constantCwikel-type estimate.

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph

Cites Work

• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Cwikel type estimate as a consequence of certain properties of the heat kernel
• Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential
• ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS
• Approximate commutativity for a decaying potential and a function of an elliptic operator
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