A strong operator topology adiabatic theorem

Details A strong operator topology adiabatic theorem A strong operator topology adiabatic theorem

2001-09-28

arxiv.org/abs/math-ph/0110002v2

Rev. Math. Phys. 14 (2002), 569-584

Physics

Mathematical Physics

15 pages, no figures

Scientific paper

10.1142/S0129055X02001247

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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