### Abstract

The solutions of the Dirac equation with minimal and non-minimal coupling terms are investigated by transforming the relativistic equation into a Schrödinger-like one. Earlier results are discussed in a unified framework and certain solutions of a large class of potentials are given. It is pointed out that techniques used in the analysis of quasi-exactly solvable potentials of non-relativistic quantum mechanics can be applied to relativistic problems as well.

Original language | English |
---|---|

Pages (from-to) | 2827-2832 |

Number of pages | 6 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 29 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*29*(11), 2827-2832. https://doi.org/10.1088/0305-4470/29/11/016

**On some solutions of the Dirac equation.** / Lévai, G.; Del Sol Mesa, A.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 29, no. 11, pp. 2827-2832. https://doi.org/10.1088/0305-4470/29/11/016

}

TY - JOUR

T1 - On some solutions of the Dirac equation

AU - Lévai, G.

AU - Del Sol Mesa, A.

PY - 1996

Y1 - 1996

N2 - The solutions of the Dirac equation with minimal and non-minimal coupling terms are investigated by transforming the relativistic equation into a Schrödinger-like one. Earlier results are discussed in a unified framework and certain solutions of a large class of potentials are given. It is pointed out that techniques used in the analysis of quasi-exactly solvable potentials of non-relativistic quantum mechanics can be applied to relativistic problems as well.

AB - The solutions of the Dirac equation with minimal and non-minimal coupling terms are investigated by transforming the relativistic equation into a Schrödinger-like one. Earlier results are discussed in a unified framework and certain solutions of a large class of potentials are given. It is pointed out that techniques used in the analysis of quasi-exactly solvable potentials of non-relativistic quantum mechanics can be applied to relativistic problems as well.

UR - http://www.scopus.com/inward/record.url?scp=21344465141&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344465141&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/29/11/016

DO - 10.1088/0305-4470/29/11/016

M3 - Article

AN - SCOPUS:21344465141

VL - 29

SP - 2827

EP - 2832

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 11

ER -