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Scattering And Absorption of Light in Planetary Regoliths
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Time-dependent resonant scattering: an analytical approach.

J M Lecomte1, Adam Kirrander, Ch Jungen

  • 1Laboratoire Aimé Cotton du CNRS, Ba^timent 505, Université de Paris-Sud, F-91405 Orsay, France.

The Journal of Chemical Physics
|November 5, 2013
PubMed
Summary
This summary is machine-generated.

This study presents a time-dependent scattering model for resonances in continua. The Wigner-Weisskopf approximation is shown to be equivalent to contact potential scattering at intermediate times.

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Area of Science:

  • Quantum mechanics
  • Atomic and molecular physics

Background:

  • Understanding resonance phenomena in quantum scattering is crucial for various physical processes.
  • Previous models often focused on time-independent descriptions or specific approximations.

Purpose of the Study:

  • To develop a time-dependent description of scattering involving a single resonance in flat continua.
  • To analytically derive the Breit-Wigner cross-section formula from a wave packet approach.
  • To explore the relationship between the Wigner-Weisskopf approximation and contact potential scattering.

Main Methods:

  • An analytical approach starting with an incident free particle wave packet.
  • Time-dependent scattering theory.
  • Analysis of the Wigner-Weisskopf approximation.

Main Results:

  • A time-dependent description of resonance scattering is established.
  • The Breit-Wigner cross-section formula is recovered at infinite times.
  • The Wigner-Weisskopf approximation is shown to be equivalent to contact potential scattering at intermediate times.

Conclusions:

  • The developed time-dependent model provides a comprehensive description of resonance scattering.
  • The equivalence to contact potential scattering offers insights into short-time dynamics.
  • The findings have potential applications in cold-atom scattering and molecular desorption.