On solvable Dirac equation with polynomial potentials
Mathematical Physics
2011-04-07 v2 math.MP
Abstract
One dimensional Dirac equation is analysed with regard to the existence of exact (or closed-form) solutions for polynomial potentials. The notion of Liouvillian functions is used to define solvability, and it is shown that except for the linear potentials the equation in question is not solvable.
Keywords
Cite
@article{arxiv.1002.3725,
title = {On solvable Dirac equation with polynomial potentials},
author = {Tomasz Stachowiak},
journal= {arXiv preprint arXiv:1002.3725},
year = {2011}
}
Comments
3 pages, updated bibliography