98-53 A. Soffer , M. Weinstein

Time Dependent Resonance Theory (448K, postscript) Feb 10, 98

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Abstract. We develop a new time dependent approach to resonances in quantum mechanics.This method allows us to derive the time behaviour of resonances for shrt intermediate and large times. It applies to rather general classes of potentials in quantum mechanics,and in some cases to perturbations of embedded eigevalues. It does not require the standard assumptions of dilation analytic or exponential decay.

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