Digitale Medien
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
35 (1994), S. 577-586
ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
The kinetic energy as a functional of the particle-number and current densities and the corresponding functional derivatives of this energy are discussed and constructed for a relativistic single-electron problem. By an additional assumption of slowly varying spatial potentials, a Klein–Gordon equation is established from which the ground-state electron density can be calculated, and an approximate form of the kinetic energy functional obtained. While there are local errors of O(1/c2) introduced by the mentioned assumption, it is shown that in calculating the energy of the system these errors average to zero, leaving errors only of O(1/c4).
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.530655
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