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On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators
M. Dimassi, J. -C. Guillot, J. Ralston
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…
math-ph2003
Quantum electrodynamics of relativistic bound states with cutoffs
J. -M. Barbaroux, M. Dimassi, J. -C. Guillot
We consider an Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulom…