On the semiclassical approach to cold atomic collisions

E. Bichoutskaia; Derrick Crothers; Dmitri Sokolovski

On the semiclassical approach to cold atomic collisions

E. Bichoutskaia, Derrick Crothers, Dmitri Sokolovski

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We extend the semiclassical description of two-state atomic collisions to low energies for which the impact parameter treatment fails. The problem reduces to solving a system of first-order differential equations with coefficients whose semiclassical asymptotes experience the Stokes phenomenon in the complex coordinate plane. Primitive semiclassical and uniform Airy approximations are discussed.

Original language	English
Pages (from-to)	1399-1409
Number of pages	11
Journal	Proceedings Of The Royal Society Of London - Mathematical, Physical And Engineering Sciences
Volume	458
Issue number	2022
Publication status	Published - 08 Jun 2002

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Cite this

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AB - We extend the semiclassical description of two-state atomic collisions to low energies for which the impact parameter treatment fails. The problem reduces to solving a system of first-order differential equations with coefficients whose semiclassical asymptotes experience the Stokes phenomenon in the complex coordinate plane. Primitive semiclassical and uniform Airy approximations are discussed.

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SN - 1364-5021

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JO - Proceedings Of The Royal Society Of London - Mathematical, Physical And Engineering Sciences

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On the semiclassical approach to cold atomic collisions

Abstract

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