Spectral gaps of the Schrödinger operators with periodic δ′-interactions and Diophantine approximations

DOI10.1017/S030500410700031XzbMath1123.34068OpenAlexW2121932859MaRDI QIDQ3594417

Kazushi Yoshitomi

Publication date: 8 August 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410700031x

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 (1)

Dirac operators with periodic \(\delta\)-interactions: spectral gaps and inhomogeneous Diophantine approximation

Cites Work

• Spectral gaps of the one-dimensional Schrödinger operators with periodic point interactions
• On energy gaps in a new type of analytically solvable model in quantum mechanics
• Resolvent formulas of general type and its application to point interactions
• Spectral asymptotics for Schrödinger operators with periodic point interactions
• A new class of solvable models in quantum mechanics describing point interactions on the line
• Quantum mechanics of electrons in crystal lattices
• Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence.

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