Dirac equation with complex potentials
Quantum Physics
2015-06-22 v4 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study dimensional Dirac equation with complex scalar and Lorentz scalar potentials. It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically. For the scalar potential cases, it has also been shown that the {\it effective} Schr\"odinger-like equations resulting from decoupling the spinor components can be interpreted as exactly solvable energy dependent Schr\"odinger equations.
Keywords
Cite
@article{arxiv.1407.0161,
title = {Dirac equation with complex potentials},
author = {C. -L. Ho and P. Roy},
journal= {arXiv preprint arXiv:1407.0161},
year = {2015}
}
Comments
8 pages, no figures, New Sect. 5 added, references updated and rearranged according to MPLA format (to appear)