Published November 29, 2004 | Version v1
Journal article Metadata-only

Supersymmetry and SWKB approach to the Dirac equation with a Coulomb potential in 2+1 dimensions

Creators

  • 1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055 (China)
  • 2. Department of Nuclear Medicine, TangDu Hospital, The Fourth Military Medical University, Xi'an 710038 (China)
  • 3. Xi'an Microelectronics Technology Institute, Xi'an 710054 (China)

Description

By using the supersymmetric quantum mechanics and shape invariance, the (2+1)-dimensional Dirac equation with a Coulomb potential is investigated. The solutions of the bound states expressed by the confluent hypergeometric functions are analytically obtained. The energy levels are also given by means of both supersymmetric quantum mechanics and supersymmetric WKB approach

Additional details

Identifiers

DOI
10.1016/j.physleta.2004.09.081;
PII
S0375-9601(04)01447-1;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
333
Journal Issue
1-2
Journal Page Range
p. 8-15
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36059747
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUND STATE; COULOMB FIELD; DIRAC EQUATION; ENERGY LEVELS; HYPERGEOMETRIC FUNCTIONS; MATHEMATICAL SOLUTIONS; QUANTUM MECHANICS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; WAVE EQUATIONS

Optional Information

Copyright
Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.