Dirac Equation with Coupling to 1/r Singular Vector Potentials for all Angular Momenta

Foundations of Physics 40 (8):1088-1095 (2010)
We consider the Dirac equation in 3+1 dimensions with spherical symmetry and coupling to 1/r singular vector potential. An approximate analytic solution for all angular momenta is obtained. The approximation is made for the 1/r orbital term in the Dirac equation itself not for the traditional and more singular 1/r 2 term in the resulting second order differential equation. Consequently, the validity of the solution is for a wider energy spectrum. As examples, we consider the Hulthén and Eckart potentials
Keywords Dirac equation  Singular potentials  Non-zero angular momentum  Energy spectrum  Hulthén  Eckart
Categories (categorize this paper)
DOI 10.1007/s10701-010-9431-5
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 35,865
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Particle Spectrum Implied by the Dirac Equation.R. H. Good - 1998 - Foundations of Physics 28 (7):1137-1156.
Remarks on the Physical Meaning of the Lorentz-Dirac Equation.E. Comay - 1993 - Foundations of Physics 23 (8):1121-1136.
Linear and Nonlinear Dirac Equation.C. Daviau - 1993 - Foundations of Physics 23 (11):1431-1443.
Two-Body Dirac Equation Versus KDP Equation.Z. Z. Aydm & A. U. Yilmazer - 1993 - Foundations of Physics 23 (5):837-840.


Added to PP index

Total downloads
35 ( #183,328 of 2,293,821 )

Recent downloads (6 months)
2 ( #252,956 of 2,293,821 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature