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Publication:3941891
zbMath0483.46054MaRDI QIDQ3941891
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Publication date: 1981
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degeneracy of the ground statePauli matrixmagnetic Bloch functionsflux of the magnetic fieldtopologically nontrivial complex bundle
Perturbation theory of linear operators (47A55) Miscellaneous applications of functional analysis (46N99) Dispersion theory, dispersion relations arising in quantum theory (81U30)
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Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions ⋮ The quantum Hall effect for electrons in a random potential ⋮ The geometry of (non-abelian) Landau levels ⋮ Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell ⋮ Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models ⋮ Trace formula for the magnetic Laplacian ⋮ Elliptic theta functions and the fractional quantum Hall effect ⋮ Two-dimensional Schrödinger operators in periodic fields
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