Minimization methods for the one-particle Dirac equation

Physical Review Letters

Volumn 85, Issue 19, 2000, Pages 4020-4023

  Dolbeault, Jean ^a   Esteban, Maria J ^a   Séré, Eric ^a   Vanbreugel, Michel ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONSTRAINT THEORY; ELEMENTARY PARTICLES; HEURISTIC METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; VARIATIONAL TECHNIQUES;

COULOMB POTENTIALS; ONE-PARTICLE DIRAC EQUATIONS;

QUANTUM THEORY;

EID: 14344272345     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.4020     Document Type: Article

References (18)

1. H. Wallmeier and W. Kutzelnigg, Chem. Phys. Lett. 78, 341 (1981).
2. W. E. Baylis and S. J. Peel, Phys. Rev. A 28, 2552 (1983).
3. J. D. Talman, Phys. Rev. Lett. 57, 1091 (1986).
4. S. N. Datta and G. Deviah, Pramana J. Phys. 30, 387 (1988).
5. G. W. F. Drake and S. P. Goldman, Phys. Rev. A 23, 2093 (1981).
6. W. Kutzelnigg, Chem. Phys. 225, 203 (1997).
7. R. N. Hill and C. Krauthauser, Phys. Rev. Lett. 72, 2151 (1994).
8. G. W. F. Drake and S. P. Goldman, Adv. At. Mol. Phys. 25, 393 (1988).
9. W. Kutzelnigg, Int. J. Quantum Chem. XXV, 107 (1984).
10. I. P. Grant, in Relativistic, Quantum Electrodynamic, and Weak Interaction Effects in Atoms, edited by Walter Johnson, Peter Mohr, and Joseph Sucher, AIP Conf. Proc. 189 (AIP, New York, 1989), p. 235.
11. M. J. Esteban and E. Séré, in Partial Differential Equations and Their Applications, edited by P. C. Greiner, V. Ivrii, L. A. Seco, and C. Sulem, CRM Proceedings and Lecture Notes Vol. 12 (American Mathematical Society, Providence, 1997).
12. M. Griesemer and H. Siedentop [J. London Math. Soc. (to be published)]. Report mp-arc 97-492.
13. J. Dolbeault, M. J. Esteban, and E. Séré, Calc. Var. 10, 321 (2000).
14. M. Griesemer, R. T. Lewis, and H. Siedentop (to be published).
15. J. Dolbeault, M. J. Esteban, and E. Séré, J. Funct. Anal. 174, 208 (2000).
16. R. van Leeuwen, E. van Lenthe, E. J. Baerends, and J. G. Snijders, J. Chem. Phys. 101, 1272 (1994).
17. B. Thaller, The Dirac Equation, Texts and Monographs in Physics (Springer-Verlag, Berlin, 1992), 1st ed.
18. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).