Time-dependent resonant scattering: An analytical approach

Jean-Marie Lecomte, Adam Kirrander, Christian Jungen

Research output: Contribution to journalArticlepeer-review

Abstract

A time-dependent description is given of a scattering process involving a single resonance embedded in a set of flat continua. An analytical approach is presented which starts from an incident free particle wave packet and yields the Breit-Wigner cross-section formula at infinite times. We show that at intermediate times the so-called Wigner-Weisskopf approximation is equivalent to a scattering process involving a contact potential. Applications in cold-atom scattering and resonance enhanced desorption of molecules are discussed.
Original languageEnglish
Article number164111
Number of pages9
JournalThe Journal of Chemical Physics
Volume139
Issue number16
Early online date24 Oct 2013
DOIs
Publication statusPublished - 2013

Keywords

  • time-dependent dynamics
  • scattering
  • surface desorption
  • cold-atom scattering
  • resonant processes

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