Alexander Elgart and Jeffrey H. Schenker
A strong operator topology adiabatic theorem
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ABSTRACT.  We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.