Exactly Solvable Combinations of Scalar and Vector Potentials for the Dirac Equation Interrelated by Riccati Equations

Chin. Phys. Lett.

2006, Vol. 23

Issue (6): 1365-1368 DOI:

Original Articles

Exactly Solvable Combinations of Scalar and Vector Potentials for the Dirac Equation Interrelated by Riccati Equations

Axel Schulze-Halberg

Department of Science, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045, Colima, Col., Mexico

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Axel Schulze-Halberg 2006 Chin. Phys. Lett. 23 1365-1368

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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.

Keywords: 03.65.Pm

Published: 01 June 2006

PACS:

03.65.Pm

(Relativistic wave equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I6/01365

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