An Adiabatic Theorem for Resonances

نویسندگان

  • Alexander Elgart
  • George A. Hagedorn
  • Pierre Duclos
چکیده

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. Partially Supported by National Science Foundation Grant DMS–0907165. Partially Supported by National Science Foundation Grants DMS–0600944 and DMS–0907165. 1

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تاریخ انتشار 2010