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A Time-Dependent Theory of Quantum Resonances

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Abstract:

In this paper we further develop a general theory of metastable states resulting from perturbation of unstable eigenvalues. We apply this theory to many-body Schrouml;dinger operators and to the problem of quasiclassical tunneling.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, ON, M5S 3G3, Canada.¶E-mail: merkli@math.toronto.edu; sigal@math.toronto.edu, , , , , , US

    M. Merkli & I. M. Sigal

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  1. M. Merkli
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  2. I. M. Sigal
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Received: Received: 13 May 1998 / Accepted: 14 September 1998

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Merkli, M., Sigal, I. A Time-Dependent Theory of Quantum Resonances. Comm Math Phys 201, 549–576 (1999). https://doi.org/10.1007/s002200050568

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  • DOI: https://doi.org/10.1007/s002200050568

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