Volume 5, Issue 4, November 1998, Pages 371 - 382
Solving Simultaneously Dirac and Ricatti Equations
Received 15 May 1998, Accepted 19 August 1998, Available Online 1 November 1998.
- https://doi.org/10.2991/jnmp.19126.96.36.199How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - J. CASAHORRÁN PY - 1998 DA - 1998/11 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.19188.8.131.52 DO - https://doi.org/10.2991/jnmp.19184.108.40.206 ID - CASAHORRÁN1998 ER -