Approximate Solutions of the Dirac Equation for the Manning-Rosen Potential Including the Spin-Orbit Coupling Term

2008 ◽  
Vol 48 (4) ◽  
pp. 1142-1149 ◽  
Author(s):  
F. Taşkın
Keyword(s):  
Dirac Equation ◽  
Approximate Solutions ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Term ◽  
Rosen Potential

Space-group operations and time-reversal for a Dirac electron in a crystal field

1958 ◽  
Vol 243 (1235) ◽  
pp. 546-554 ◽  
Keyword(s):  
Dirac Equation ◽  
Crystal Field ◽  
Time Reversal ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Band Theory ◽  
Space Group ◽  
Basic Formalism ◽  
Dirac Electron

It is shown in the first part how the basic formalism of the theory of spin-orbit coupling in the band theory of crystals can be deduced at once from the Dirac equation without the usual ambiguities over improper rotations associated with the formalism based on the Pauli-Schrödinger equation. In the second part it is shown that the original proofs of the time-reversal theorems given by Wigner are unnecessarily complicated.

Manipulation of the spin-orbit coupling using the Dirac equation for spin-dependent potentials

1996 ◽  
Vol 53 (12) ◽  
pp. 7721-7726 ◽  
Author(s):  
H. Ebert ◽  
H. Freyer ◽  
A. Vernes ◽  
G.-Y. Guo
Keyword(s):  
Dirac Equation ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit

A Dirac equation with an oscillator potential and spin-orbit coupling

1991 ◽  
Vol 158 (1-2) ◽  
pp. 19-22 ◽  
Author(s):  
V.I. Kukulin ◽  
G. Loyola ◽  
M. Moshinsky
Keyword(s):  
Dirac Equation ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Oscillator Potential
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