On the Degenerate Spectral Gaps of the One-Dimensional Schrödinger Operators with Periodic Point Interactions

DOI10.1137/100792184zbMath1263.34119OpenAlexW2044247803MaRDI QIDQ3165295

Hiroaki Niikuni

Publication date: 26 October 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100792184

zbMATH Keywords

band spectrumspectral gaprotation numberperiodic Schrödinger operatorpoint interactioncoexistence problemPrüfer transformKronig-Penney Hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Boundary value problems with impulses for ordinary differential equations (34B37) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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