Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'

Journal Article · Tue Feb 14 23:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.026701· OSTI ID:20974657

Coutinho, F A. B. ^[1]; Nogami, Y ^[2]

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1. Faculdade de Medicina, Universidade de Sa(tilde sign)o Paulo, 01246-903, SP (Brazil)
2. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1 (Canada)

In a recent paper, Szmytkowski proposed zero-range potentials for Dirac particles in three space dimensions. On the other hand, there is a theorem, proved by Svendsen a long time ago, which implies that zero-range potentials cannot be defined for the Dirac equation in two and three space dimensions. We discuss a difficulty that underlies Szmytkowski's approach.

• OSTI ID: 20974657
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
PARTICLES
POTENTIALS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCATTERING
THREE-DIMENSIONAL CALCULATIONS