On Schrödinger operators with δ′-potentials supported on star graphs

DOI10.1088/1751-8121/ac775aOpenAlexW4282021658MaRDI QIDQ5054680

Konstantin Pankrashkin, Marco Vogel

Publication date: 29 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.01617

zbMATH Keywords

Schrödinger operatorsessential spectrumdiscrete spectrumbound statessolvable modeldelta-type potential

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• On the principal eigenvalue of a Robin problem with a large parameter
• Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence.

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