Description of a two-electron atom or ion in an ac field using interparticle coordinates, with an application to [Formula Presented]

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 56, Issue 6, 1997, Pages 4946-4959

  Yang, Binwei ^a   Pont, Marcel ^a   Shakeshaft, Robin ^a   van Duijn, Ernst ^b   Piraux, Bernard ^c  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b FOM INSTITUTE AMOLF   (Netherlands)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELD EFFECTS; ELECTRON ABSORPTION; ELECTRONS; HYDROGEN; IONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RADIATION;

INTERPARTICLE COORDINATES; MONOCHROMATIC RADIATION;

ATOMIC PHYSICS;

EID: 0031386047     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.56.4946     Document Type: Article

References (23)

1. C. L. Pekeris, Phys. Rev. 112, 1649 (1958).PHRVAO
2. B. Schiff, C. L. Pekeris, and Y. Accad, Phys. Rev. A 4, 885 (1971). PLRAANThe basis functions (Formula presented) in general involve both even and odd powers of (Formula presented) However, terms with (Formula presented) and (Formula presented) involve only even powers of (Formula presented) A basis which possesses only even powers of (Formula presented) would offer no advantage over a basis that depends directly on the independent-electron coordinates (Formula presented) and (Formula presented) since (Formula presented)
3. D. Wintgen and D. Delande, J. Phys. B 26, L399 (1993).JPAPEH
4. M. Pont and R. Shakeshaft, Phys. Rev. A 51, 257 (1995).PLRAAN
5. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1957).
6. L. Pan, K. T. Taylor, and C. W. Clark, Phys. Rev. Lett. 61, 2673 (1988).PRLTAO
7. R. Shakeshaft, R. M. Potvliege, M. Dörr, and W. E. Cooke, Phys. Rev. A 42, 1656 (1990).PLRAAN
8. D. Proulx, M. Pont, and R. Shakeshaft, Phys. Rev. A 49, 1208 (1994).PLRAAN
9. I. Sánchez, H. Bachau, and F. Martin, J. Phys. B 28, 2863 (1995).JPAPEH
10. A. Stintz, X. M. Zhao, C. E. M. Strauss, W. B. Ingalls, G. A. Kyrala, D. J. Funk, and H. C. Bryant, Phys. Rev. Lett. 75, 2924 (1995).PRLTAO
11. See, e.g., A. K. Bhatia and Y. K. Ho, Phys. Rev. A 41, 504 (1990), and references therein.PLRAAN
12. The singularities of (Formula presented) are branch points, corresponding to either a resonance or a channel closing, and the radius of convergence of the perturbation series is determined by the branch point that is nearest to the origin in the complex (Formula presented) plane. See, e.g., N. L. Manakov and A. G. Fainshtein, Teor. Mat. Fiz. 48, 375 (1981) [Theor. Math. Phys. 48, 815 (1981)]; TMPHAH
13. M. Pont and R. Shakeshaft, Phys. Rev. A 43, 3764 (1991).PLRAAN
14. M. Dörr, J. Purvis, M. Terao-Dunseath, P. G. Burke, C. J. Joachain, and C. J. Noble, J. Phys. B 28, 4481 (1995).JPAPEH
15. For recent reviews see M. Dörr, in Photon and Electron Collisions with Atoms and Molecules, edited by P. G. Burke and C. J. Joachain (Plenum, New York, 1997);C. J. Joachain, Proceedings of the International Conference of Multiphoton Processes VII (Institute of Physics, Bristol, in press).
16. A. S. Fearnside, Ph.D. thesis, University of Durham, 1996.
17. M-G. Baik, M. Pont, and R. Shakeshaft, Phys. Rev. A 52, 4980 (1995).PLRAAN
18. Y. S. Kim and P. Lambropoulos, Phys. Rev. A 29, 3159 (1984).PLRAAN
19. See, e.g., Atoms in Intense Fields, edited by M. Gavrila (Academic, New York, 1992).
20. M. Pont and R. Shakeshaft, Phys. Rev. A 44, R4110 (1991).PLRAAN
21. See, e.g., A. Kono and S. Hattori, Phys. Rev. A 34, 1727 (1986); PLRAAN
22. G. W. F. Drake, Phys. Rev. Lett. 65, 2769 (1990).PRLTAO
23. R. L. Snow and J. L. Bills, J. Chem. Educ. 51, 585 (1974). JCEDA8