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On the Exponential Decay of Magnetic Stark Resonances

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0301038,
  title  = {On the Exponential Decay of Magnetic Stark Resonances},
  author = {Christian Ferrari and Hynek Kovarik},
  journal= {arXiv preprint arXiv:math-ph/0301038},
  year   = {2007}
}

Comments

30 pages, no figures