An Adiabatic Theorem for Resonances

Details An Adiabatic Theorem for Resonances An Adiabatic Theorem for Resonances

2010-02-08

arxiv.org/abs/1002.1741v1

Physics

Mathematical Physics

31 pages, 2 figures

Scientific paper

We prove a robust extension of the quantum adiabatic theorem. The theorem
applies to systems that have resonances instead of bound states, and to systems
for which just an approximation to a bound state is known. To demonstrate the
theorem's usefulness in a concrete situation, we apply it to shape resonances.

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