Published January 6, 2006 | Version v1
Journal article Metadata-only

Remarks on the Mittleman max-min variational method for the electron-positron field

Creators

  • 1. Centre de Physique Theorique, FRUMAM, Luminy case 907, 13288 Marseille Cedex 09 (France)
  • 2. Departement de Mathematiques, Universite du Sud Toulon-Var, Avenue de l'Universite - BP 20132, 83957 La Garde Cedex (France)
  • 3. Departement de Mathematiques, Batiment 425, Universite Paris Sud, 91405 Orsay Cedex (France)
  • 4. Mathematik, Theresienstrasse 39, 80333 Munich (Germany)

Description

Barbaroux, Esteban and Sere have investigated the relation between Mittleman's max-min principle and the solutions of the Dirac-Fock equations. Their comparison is valid in the non-relativistic limit, but it does not contain quantitative estimates. We generalize their result of non-agreement in the case of one electron and show that this non-agreement holds for the physical value of the fine structure constant if Z < 42 (molybdenum)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/39/85/a6_1_007.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0305-4470/39/85/a6_1_007.pdf;
DOI
10.1088/0305-4470/39/1/007;
PII
S0305-4470(06)01548-4;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
39
Journal Issue
1
Journal Page Range
p. 85-98
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37051519
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPARATIVE EVALUATIONS; DIRAC EQUATION; ELECTRONS; FINE STRUCTURE; FOCK REPRESENTATION; MATHEMATICAL SOLUTIONS; MOLYBDENUM; POSITRONS; RELATIVISTIC RANGE; VARIATIONAL METHODS
Descriptors DEC
ANTILEPTONS; ANTIMATTER; ANTIPARTICLES; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ELEMENTS; ENERGY RANGE; EQUATIONS; EVALUATION; FERMIONS; FIELD EQUATIONS; LEPTONS; MATTER; METALS; PARTIAL DIFFERENTIAL EQUATIONS; REFRACTORY METALS; TRANSITION ELEMENTS; WAVE EQUATIONS