Relativistic extension of the Kay-Moses method for constructing transparent potentials in quantum mechanics
Journal Article
·
· Physical Review A; (United States)
- Institute of Computer Sciences, Kyoto Sangyo University, Kyoto 603 (Japan)
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1 (Canada)
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.
- OSTI ID:
- 6729856
- Journal Information:
- Physical Review A; (United States), Vol. 47:2; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC EQUATION
POTENTIALS
BOUNDARY CONDITIONS
NEGATIVE ENERGY STATES
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
DIRAC EQUATION
POTENTIALS
BOUNDARY CONDITIONS
NEGATIVE ENERGY STATES
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)