Plane wave and Coulomb asymptotics

P.G. Mulligan, Derrick Crothers

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A simple plane wave solution of the Schrodinger-Helmholtz equation is a quantum eigenfunction obeying both energy and linear momentum correspondence principles. Inclusion of the outgoing wave with scattering amplitude f asymptotic development of the plane wave, we show that there is a problem with angular momentum when we consider forward scattering at the point of closest approach and at large impact parameter given semiclassically by (l + 1/2)/k where l is the azimuthal quantum number and may be large (J. Leech et al., Phys. Rev. Lett. 88. 257901 (2002)). The problem is resolved via non- uniform, non-standard analysis involving the Heaviside step function, unifying classical, semiclassical and quantum mechanics, and the treatment is extended to the case of pure Coulomb scattering.
Original languageEnglish
Pages (from-to)17-20
Number of pages4
JournalPhysica Scripta
Volume70
Issue number1
Publication statusPublished - Jul 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Mulligan, P. G., & Crothers, D. (2004). Plane wave and Coulomb asymptotics. Physica Scripta, 70(1), 17-20.