Spectral gaps of the one-dimensional Schrödinger operators with periodic point interactions

DOI10.14492/hokmj/1285766361zbMath1114.34067OpenAlexW1968555618MaRDI QIDQ852464

Kazushi Yoshitomi

Publication date: 29 November 2006

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1285766361

zbMATH Keywords

Schrödinger operatorsspectral gapsperiodic point interactions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Stability of closed gaps for the alternating Kronig-Penney Hamiltonian ⋮ Spectra of periodic Schrödinger operators on the degenerate zigzag nanotube with \(\delta\) type vertex conditions ⋮ Asymptotic estimates for the spectral gaps of the Schrödinger operators with periodic \(\delta'\)-interactions ⋮ Coexistence problem for the one-dimensional Schrödinger operators with the double or triple periodic \(\delta ^{(1)}\)-interactions ⋮ Spectral gaps of the Schrödinger operators with periodic δ′-interactions and Diophantine approximations ⋮ Dirac operators with periodic \(\delta\)-interactions: spectral gaps and inhomogeneous Diophantine approximation

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