Published February 1993 | Version v1
Journal article Metadata-only

Relativistic extension of the Kay-Moses method for constructing transparent potentials in quantum mechanics

Creators

  • 1. Institute of Computer Sciences, Kyoto Sangyo University, Kyoto 603 (Japan)
  • 2. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1 (Canada)

Description

For the Dirac equation in one space dimension with a potential of the Lorentz scalar type, we present a complete solution for the problem of constructing a transparent potential. This is a relativistic extension of the Kay-Moses method which was developed for the nonrelativistic Schroedinger equation. There is an infinite family of transparent potentials. The potentials are all related to solutions of a class of coupled, nonlinear Dirac equations. In addition, it is argued that an admixture of a Lorentz vector component in the potential impairs perfect transparency

Additional details

Publishing Information

Journal Title
Physical Review. A
Journal Volume
47
Journal Issue
2
Journal Page Range
p. 897-902.
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
24039707
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
BOUNDARY CONDITIONS; DIRAC EQUATION; NEGATIVE ENERGY STATES; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; SCHROEDINGER EQUATION; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS