# On solvable Dirac equation with polynomial potentials - Mathematical Physics

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Abstract: One dimensional Dirac equation is analysed with regard to the existence ofexact or closed-form solutions for polynomial potentials. The notion ofLiouvillian functions is used to define solvability, and it is shown thatexcept for the linear potentials the equation in question is not solvable.

Author: ** Tomasz Stachowiak**

Source: https://arxiv.org/