Threshold Singularities of the Spectral Shift Function for Geometric Perturbations of Magnetic Hamiltonians

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15 صفحه اول

On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrödinger Operators

We construct almost invariant subspaces and the corresponding effective Hamiltonian for magnetic Bloch bands. We also discuss the question of the dynamics related to the effective Hamiltonian. We assume that the magnetic and electric potentials are slowly varying perturbations of the potential of a constant magnetic field and a periodic lattice potential, respectively.

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ژورنال

عنوان ژورنال: Annales Henri Poincaré

سال: 2020

ISSN: 1424-0637,1424-0661

DOI: 10.1007/s00023-020-00904-6