On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field

zbMath1184.81063arXiv0901.3036MaRDI QIDQ5852720

Grigori Rozenblum, Grigory Tashchiyan

Publication date: 27 January 2010

Full work available at URL: https://arxiv.org/abs/0901.3036

zbMATH Keywords

eigenvaluesSchrödinger operatormagnetic fieldPauli operator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian ⋮ Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction ⋮ Edge states for generalized Iwatsuka models: magnetic fields having a fast transition across a curve ⋮ Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ Toeplitz operators in polyanalytic Bergman type spaces

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