Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'
Abstract
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.
- Authors:
-
- Faculdade de Medicina, Universidade de Sa(tilde sign)o Paulo, 01246-903, SP (Brazil)
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1 (Canada)
- Publication Date:
- OSTI Identifier:
- 20974657
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.026701; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; PARTICLES; POTENTIALS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCATTERING; THREE-DIMENSIONAL CALCULATIONS
Citation Formats
Coutinho, F A. B., and Nogami, Y. Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.026701.
Coutinho, F A. B., & Nogami, Y. Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'. United States. https://doi.org/10.1103/PHYSREVA.73.026701
Coutinho, F A. B., and Nogami, Y. 2006.
"Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'". United States. https://doi.org/10.1103/PHYSREVA.73.026701.
@article{osti_20974657,
title = {Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems'},
author = {Coutinho, F A. B. and Nogami, Y},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.73.026701},
url = {https://www.osti.gov/biblio/20974657},
journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
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