A semi-inverse variational method for generating the bound state energy eigenvalues in a quantum system: the Dirac Coulomb type-equation

Abstract

Exact eigenspectra and eigenfunctions of the Dirac quantum equation are established using the semi-inverse variational method. This method improves of a considerable manner the efficiency and accuracy of results compared with the other usual methods much argued in the literature. Some applications for different state configurations are proposed to concretize the method.

Keywords:

• Quantum system
• Dirac equation
• bound states
• variational
• semi-inverse
• energy eigenvalues

Acknowledgements

The authors are indebted to Prof. J. Hans and Prof S. Brend for interesting discussions and for their valuable comments.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by MERS (Ministère de l’Enseignement et de la Recherche Scientifique) [contract number D0701/01/15] from CNEPRU.