ar X iv : m at h - ph / 0 11 00 02 v 2 2 6 Fe b 20 02 A STRONG OPERATOR TOPOLOGY ADIABATIC THEOREM
نویسنده
چکیده
We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. 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.
منابع مشابه
ar X iv : m at h - ph / 0 11 00 02 v 1 2 8 Se p 20 01 A STRONG OPERATOR TOPOLOGY ADIABATIC THEOREM
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.
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