Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential
Quantum Physics
2009-11-10 v1
Abstract
It has been observed that a quantum theory need not to be Hermitian to have a real spectrum. We study the non-Hermitian relativistic quantum theories for many complex potentials, and we obtain the real relativistic energy eigenvalues and corresponding eigenfunctions of a Dirac charged particle in complex static and spherically symmetric potentials. Complex Dirac-Eckart, complex Dirac-Rosen-Morse II, complex Dirac-Scarf and complex Dirac-Poschl-Teller potential are investigated.
Keywords
Cite
@article{arxiv.quant-ph/0309116,
title = {Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential},
author = {Khaled Saaidi},
journal= {arXiv preprint arXiv:quant-ph/0309116},
year = {2009}
}
Comments
9 pages, no fiugres, latex