skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2]
  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)
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}
}