Infeld-Hull factorization and the simplified solution of the Dirac-Coulomb equation
Journal Article
·
· Phys. Rev. A; (United States)
It is pointed out that the approach used by Su to obtain the simplified solution to the Dirac-Coulomb equation can be interpreted in the light of the Infeld-Hull factorization method. According to this method the first-order Dirac-Coulomb equation, after the transformation S-italic, necessarily implies two second-order ''Schroedinger-type'' equations, whose solutions are the upper and lower simplified solutions of the Dirac-Coulomb equation. It is also interesting to note that the ''recurrence relation'' between the upper and lower solutions, first obtained by Biedenharn, is exactly the Dirac-Coulomb equation itself, after the transformation S-italic.
- Research Organization:
- Fairfield University, Fairfield, Connecticut 06430-7524
- OSTI ID:
- 5646816
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 34:2; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Simplified solution of the Dirac equation with a Coulomb potential
Kinklike structures in models of the Dirac–Born–Infeld type
Theory of involutional transformations applied to the Dirac theory of the electron. II. Remarks on the Dirac--Coulomb waves
Journal Article
·
Tue Jun 15 00:00:00 EDT 1982
· Phys. Rev. D; (United States)
·
OSTI ID:5192901
Kinklike structures in models of the Dirac–Born–Infeld type
Journal Article
·
Sun Jan 14 23:00:00 EST 2018
· Annals of Physics
·
OSTI ID:22848290
Theory of involutional transformations applied to the Dirac theory of the electron. II. Remarks on the Dirac--Coulomb waves
Journal Article
·
Fri Aug 01 00:00:00 EDT 1980
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:5173407