Journal article
Supersymmetry aspects of the Dirac equation in one dimension with a Lorentz scalar potential
Abstract
The Dirac equation in one dimension with a Lorentz scalar potential is associated with a supersymmetric pair of Schrödinger Hamiltonians H1 and H2. The H1 and H2 share the same energy spectrum and scattering phases. The shared spectrum includes the lowest states unless the Dirac equation allows a zero mode (a zero-energy bound state). This situation is unlike the common examples of supersymmetric quantum mechanics. The Dirac equation admits a …
Authors
Nogami Y; Toyama FM
Journal
Physical Review A, Vol. 47, No. 3, pp. 1708–1714
Publisher
American Physical Society (APS)
Publication Date
March 1993
DOI
10.1103/physreva.47.1708
ISSN
2469-9926