Abstract: New classes of solvable scalar and vector potentials for the Dirac equation are obtained, together with the associated exact Dirac spinors. The method of derivation is based on an a priori constraint between the solutions, leading to an interrelation between the scalar and vector potential in the form of a Riccati equation. The present note generalizes a series of former articles.
Axel Schulze-Halberg. Exactly Solvable Combinations of Scalar and Vector Potentials for the Dirac Equation Interrelated by Riccati Equations[J]. 中国物理快报, 2006, 23(6): 1365-1368.
Axel Schulze-Halberg. Exactly Solvable Combinations of Scalar and Vector Potentials for the Dirac Equation Interrelated by Riccati Equations. Chin. Phys. Lett., 2006, 23(6): 1365-1368.