Magnetic layers with periodic point perturbations.

DOI10.1016/S0034-4877(03)90016-4zbMath1058.81017arXivmath-ph/0212053OpenAlexW3103474799MaRDI QIDQ595956

K. Němcová, Pavel Exner

Publication date: 6 August 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0212053

zbMATH Keywords

Schrödinger operator with magnetic fieldDirichlet layergroup of magnetic translationsperiodic point potential

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (2)

Temporally stable coherent states for a free magnetic Schrödinger operator ⋮ Landau levels as a limiting case of a model with the Morse-like magnetic field

Cites Work

• Point interactions in a strip
• Potentials of zero radius and Carleman operators
• Quantum mechanics of layers with a finite number of point perturbations
• A Krein-like formula for singular perturbations of self-adjoint operators and applications
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