Relativistic Coulomb problem: Analytic upper bounds on energy levels

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 5, 1996, Pages 3790-3794

  Lucha, Wolfgang ^a   Schöberl, Franz F ^b  

^a INSTITUT FÜR HOCHENERGIEPHYSIK   (Austria)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; EQUATIONS OF MOTION; ESTIMATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; SPECTRUM ANALYSIS; VARIATIONAL TECHNIQUES;

COULOMB INTERACTION POTENTIAL; RELATIVISTIC HAMILTONIAN; RELATIVISTIC KINETIC ENERGY; SCHRODINGER HAMILTONIAN; SPINLESS SALPETER EQUATION;

QUANTUM THEORY;

EID: 0030287073     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.3790     Document Type: Article

References (16)

1. W. Lucha and F. F. Schöberl, in Proceedings of the International Conference on Quark Confinement and the Hadron Spectrum, Como, Italy, 1994, edited by N. Brambilla and G. M. Prosperi (World Scientific, River Edge, NJ, 1995), p. 100.
2. I. W. Herbst, Commun. Math. Phys. 53, 285 (1977);
3. I. W. Herbst, Commun. Math. Phys. 55, 316 (1977) (addendum).
4. A. Martin and S. M. Roy, Phys. Lett. B 233, 407 (1989).
5. B. Durand and L. Durand, Phys. Rev. D 28, 396 (1983);
6. B. Durand and L. Durand, Phys. Rev. D 50, 6662E (1994).
7. G. Hardekopf and J. Sucher, Phys. Rev. A 31, 2020 (1985).
8. W. Lucha and F. F. Schöberl, Austrian Academy of Sciences, Report No. HEPHY-PUB 596/94, 1994 (unpublished);
9. Phys. Rev. D 50, 5443 (1994).
10. A. Le Yaouanc, L. Oliver and J.-C. Raynal, Ann. Phys. (N.Y.) 239, 243 (1995).
11. N. Brambilla and A. Vairo, Phys. Lett. B 359, 133 (1995).
12. M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic Press, New York, 1978), Sec. XIII.1.
13. A. Weinstein and W. Stenger, Methods of Intermediate Problems for Eigenvalues — Theory and Ramifications (Academic Press, New York, 1972).
14. W. Lucha and F. F. Schöberl, Phys. Rev. Lett. 64, 2733 (1990).
15. W. Lucha and F. F. Schöberl, Mod. Phys. Lett. A 5, 2473 (1990).
16. A. Martin, Phys. Lett. B 214, 561 (1988).