Adiabatic theorem for finite dimensional quantum mechanical systems

Details Adiabatic theorem for finite dimensional quantum mechanical systems Adiabatic theorem for finite dimensional quantum mechanical systems

2009-09-02

arxiv.org/abs/0909.0370v3

Russ.Phys.J.54:342-353,2011

Physics

Mathematical Physics

12 pages, corrected

Scientific paper

10.1007/s11182-011-9620-5

A new simple proof of the adiabatic theorem is given in the finite
dimensional case for nondegenerate as well as degenerate states. The explicitly
integrable two level system is considered as an example. It is demonstrated
that the error estimate given by the adiabatic theorem can not be improved.

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