Solving Simultaneously Dirac and Ricatti Equations

DOI

10.2991/jnmp.1998.5.4.4How to use a DOI?

Abstract

We analyse the behaviour of the Dirac equation in d = 1 + 1 with Lorentz scalar potential. As the system is known to provide a physical realization of supersymmetric quantum mechanics, we take advantage of the factorization method in order to enlarge the restricted class of solvable problems. To be precise, it suffices to integrate a Ricatti equation to construct one-parameter families of solvable potentials. To illustrate the procedure in a simple but relevant context, we resort to a model which has proved useful in showing the phenomenon of fermion number fractionalization.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - J. Casahorrán
PY  - 1998
DA  - 1998/11/01
TI  - Solving Simultaneously Dirac and Ricatti Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 371
EP  - 382
VL  - 5
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.4.4
DO  - 10.2991/jnmp.1998.5.4.4
ID  - Casahorrán1998
ER  -