Spectral asymptotics for Schrödinger operators with periodic point interactions

DOI10.1006/jmaa.2001.7716zbMath1006.34081OpenAlexW2047533168MaRDI QIDQ1604460

R. Smith

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7716

zbMATH Keywords

spectral asymptoticspoint interactionsselfadjoint extensionsstep-wise density function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (10)

PRÜFER ANALYSIS OF PERIODIC SINGULAR STURM–LIOUVILLE PROBLEM WITH PIECEWISE CHARACTERISTIC ⋮ Stability of closed gaps for the alternating Kronig-Penney Hamiltonian ⋮ Electromagnetic Schrödinger operators on periodic graphs with general conditions at vertices ⋮ Spectrum of a differential operator with periodic generalized potential ⋮ Spectral gaps of the Schrödinger operators with periodic δ′-interactions and Diophantine approximations ⋮ Inverse spectral problems for Sturm--Liouville operators in impedance form ⋮ Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials ⋮ Stability and instability regions of second-order equations with periodic point interactions on time scales ⋮ A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions ⋮ INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR

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