Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 1351-1359
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The Dirac equation in a spherically symmetric screened Coulomb potential is transformed to a modified Schrödinger equation of the form d2u/dr2+k2(r)u=0. This transformation is induced by expressing the Dirac function as a linear combination of the function u and its derivative du/dr. Various properties of the transformation and of the resulting equations are studied. The close similarity between the modified Schrödinger equation and the Schrödinger equation suggests that methods applied to the Schrödinger equation to derive nonrelativistic relations can be applied to the modified Schrödinger equation to derive the analogous relativistic relations. As an example, this approach is applied to the single channel quantum defect theory to give a new derivation of its relativistic form.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527537
Permalink
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
