Reflection and transmission of waves by a complex potential - A semiclassical Jeffreys-Wentzel-Kramers-Brillouin treatment

Á Vibók, G. G. Balint-Kurti

Research output: Contribution to journalArticle

134 Citations (Scopus)

Abstract

In this paper, the reflection and transmission of plane waves are examined from a complex potential. Such potentials have the property of absorbing wave packets incident on them and are used widely in time-dependent quantum scattering theory. The purpose of the study is to determine the optimal form of potential to be used for absorbing wave packets near the edges of finite grids in coordinate space. The best potentials for such purposes lead to the minimum possible transmission and reflection of the incident wave packet. The Jeffreys-Wentzel-Kramers-Brillouin (JWKB) theory is used to address this problem and a new form for the optimal complex potential is proposed. A scaled dimensionless form of the Schrödinger equation is also derived, so that the parameters of any optimized potential obtained for a particular collision energy and mass combination may be readily converted to apply to a new set of masses and energies.

Original languageEnglish
Pages (from-to)7615-7622
Number of pages8
JournalThe Journal of Chemical Physics
Volume96
Issue number10
Publication statusPublished - 1992

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Wave packets
Wave transmission
wave packets
Scattering
plane waves
grids
collisions
energy
scattering

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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Reflection and transmission of waves by a complex potential - A semiclassical Jeffreys-Wentzel-Kramers-Brillouin treatment. / Vibók, Á; Balint-Kurti, G. G.

In: The Journal of Chemical Physics, Vol. 96, No. 10, 1992, p. 7615-7622.

Research output: Contribution to journalArticle

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