NORM RESOLVENT CONVERGENCE TO MAGNETIC SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS

DOI10.1142/S0129055X01000697zbMath1033.81033OpenAlexW2018638536MaRDI QIDQ4418288

Hideo Tamura

Publication date: 7 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x01000697

zbMATH Keywords

deficiency indicesnot essentially selfadjoint\(\delta\)-like magnetic fieldresonance space

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Infiniteness of zero modes for the Pauli operator with singular magnetic field ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model

Cites Work

• The Aharonov-Bohm effect and scattering theory
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• On the Aharonov-Bohm Hamiltonian
• Significance of Electromagnetic Potentials in the Quantum Theory
• On nonlocal point interactions in one, two, and three dimensions
• Aharonov–Bohm effect with δ-type interaction
• Magnetic scattering at low energy in two dimensions

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