Point perturbation-invariant solutions of the Schrödinger equation with a magnetic field

DOI10.1007/BF02309173zbMath0898.35081OpenAlexW2066823273MaRDI QIDQ1387397

V. A. Margulis, Vladimir A. Geyler

Publication date: 28 October 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02309173

zbMATH Keywords

Schrödinger equationLandau-Ando levelLandau-Ando statesthermodynamic and transport properties of diordered quasi-two dimensional systems of charge carriers in quantizing magnetic fieldtwo-dimensional Schrödinger operator with a magnetic field perturbed by point potential localized at the points of a plane lattice

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Separation of center of mass in homogeneous magnetic fields
• Schrödinger semigroups
• Stability of gaps for periodic potentials under variation of a magnetic field
• Electron states in a magnetic field and random impurity potential: use of the theory of entire functions

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