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A new amplitude-phase method for analyzing scattering solutions of the radial Dirac equation
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2008 (English)Article in journal (Refereed) Published
Abstract [en]

A novel amplitude-phase method for analyzing radial Dirac solutions is presented. This approach addresses the original coupled radial Dirac equations without first transforming them to decoupled second-order differential equations. As a reference test, the method is applied to the scattering problem of a Dirac particle (electron) in a long-range Coulomb 4-vector potential with zero space components. Numerical results for the partial-wave S-matrix are compared with those from an exact analytic S-matrix formula.

Place, publisher, year, edition, pages
2008. Vol. 41, no 11
Keyword [en]
differential-equation, schrodinger-equation, numerical-solutions, wave, mechanics, momentum, states
URN: urn:nbn:se:kth:diva-17389DOI: 10.1088/1751-8113/41/11/115304ISI: 000254152700011ScopusID: 2-s2.0-41149088201OAI: diva2:335433
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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