On solvable Dirac equation with polynomial potentials

Details On solvable Dirac equation with polynomial potentials On solvable Dirac equation with polynomial potentials

2010-02-19

arxiv.org/abs/1002.3725v2

J.Math.Phys.52:012301,2011

Physics

Mathematical Physics

3 pages, updated bibliography

Scientific paper

10.1063/1.3533946

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.

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