Magnetic field influence on the discrete spectrum of locally deformed leaky wires

DOI10.1016/S0034-4877(21)00055-0MaRDI QIDQ2236902

Pavel Exner, Diana Barseghyan

Publication date: 26 October 2021

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03877

zbMATH Keywords

magnetic fieldsingular Schrödinger operatorsdiscrete spectrum.

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Estimates for the lowest eigenvalue of magnetic Laplacians
• Bound states of the magnetic Schrödinger operator
• Examples of absolutely continuous Schrödinger operators in magnetic fields
• Some propagation properties of the Iwatsuka model
• Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions
• On the bound states of magnetic Laplacians on wedges
• Quantum waveguides
• Eigenvalues upper bounds for the magnetic Schrödinger operator
• Geometrically induced spectrum in curved leaky wires
• The Landau Hamiltonian with δ-potentials supported on curves
• Stability of the Magnetic Schrödinger Operator in a Waveguide

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