A strong operator topology adiabatic theorem

Alexander Elgart; Jeffrey H. Schenker

doi:10.1142/s0129055x02001247

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A strong operator topology adiabatic theorem

Alexander Elgart·Jeffrey H. Schenker

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Abstract

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.

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Alexander Elgart, Jeffrey H. Schenker. 2002-02-26. A strong operator topology adiabatic theorem. https://doi.org/10.1142/s0129055x02001247

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