Confinement properties for the Dirac equation with scalar-like and vector-like potentials
- 21 June 1986
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (9) , 1739-1743
- https://doi.org/10.1088/0305-4470/19/9/045
Abstract
The (1+3)- and (1+1)-dimensional Dirac equation with both scalar-like and vector-like potentials is discussed. The authors prove that if the scalar-like potential is just equal to the vector-like potential, the confinement is impossible, i.e. there must be scattering states. Two exact solutions with linear potential and harmonic oscillator potential in this condition are given.Keywords
This publication has 3 references indexed in Scilit:
- Exact solutions of the Dirac equation with a linear scalar confining potential in a uniform electric fieldJournal of Physics A: General Physics, 1984
- Vector and scalar confining potentials and the Klein paradoxPhysical Review D, 1983
- Bound states of a relativistic quark confined by a vector potentialPhysical Review D, 1983