Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions

J. C. Wells, B. Segev, J. Eichler

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We discuss the two-center, time-dependent Dirac equation describing the dynamics of an electron during a peripheral, relativistic heavy-ion collision at extreme energies. We derive a factored form, which is exact in the high-energy limit, for the asymptotic channel solutions of the Dirac equation, and elucidate their close connection with gauge transformations which transform the dynamics into a representation in which the interaction between the electron and a distant ion is of short range. We describe the implications of this relationship for solving the time-dependent Dirac equation for extremely relativistic collisions.

Original languageEnglish
Pages (from-to)346-357
Number of pages12
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume59
Issue number1
DOIs
StatePublished - 1 Jan 1999
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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