An Adiabatic Theorem for Resonances

2010/02/08 by Elgart, Alexander, Hagedorn, George · 1 citation
#81Q10 #81Q70 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1002.1741

Abstract

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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