Time-dependent resonant scattering: An analytical approach

Jean-Marie Lecomte; Adam Kirrander; Christian Jungen

doi:10.1063/1.4825335

Time-dependent resonant scattering: An analytical approach

Jean-Marie Lecomte, Adam Kirrander, Christian Jungen

Research output: Contribution to journal › Article › peer-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 language	English
Article number	164111
Number of pages	9
Journal	The Journal of Chemical Physics
Volume	139
Issue number	16
Early online date	24 Oct 2013
DOIs	https://doi.org/10.1063/1.4825335
Publication status	Published - 2013

Keywords / Materials (for Non-textual outputs)

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

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10.1063/1.4825335

Lecomte_Kirrander_Jungen_JCP_2013Final published version, 1.36 MB

NEWLIGHT - New Light on Chemical Dynamics
Kirrander, A. (Principal Investigator)
EU government bodies
1/09/13 → 31/08/17
Project: Research

Cite this

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title = "Time-dependent resonant scattering: An analytical approach",

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.",

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AU - Jungen, Christian

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AB - 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.

KW - time-dependent dynamics

KW - scattering

KW - surface desorption

KW - cold-atom scattering

KW - resonant processes

U2 - 10.1063/1.4825335

DO - 10.1063/1.4825335

M3 - Article

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JO - The Journal of Chemical Physics

JF - The Journal of Chemical Physics

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ER -

Time-dependent resonant scattering: An analytical approach

Abstract

Keywords / Materials (for Non-textual outputs)

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Projects

NEWLIGHT - New Light on Chemical Dynamics

Cite this