On the Exponential Decay of Magnetic Stark Resonances

Details On the Exponential Decay of Magnetic Stark Resonances On the Exponential Decay of Magnetic Stark Resonances

2003-01-28

arxiv.org/abs/math-ph/0301038v1

Physics

Mathematical Physics

30 pages, no figures

Scientific paper

We study the time decay of magnetic Stark resonant states. As our main result
we prove that for sufficiently large time these states decay exponentially with
the rate given by the imaginary parts of eigenvalues of certain non-selfadjoint
operator. The proof is based on the method of complex translations.

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