Stark effect in hydrogen: Reconstruction of the complex ground-state energy from the coefficients of an asymptotic perturbation expansion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 56, Issue 1, 1997, Pages 202-207

  Ivanov, I A ^a  

^a INSTITUTE OF SPECTROSCOPY   (Russian Federation)

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EID: 0004792681     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.56.202     Document Type: Article

References (37)

1. A. F. J. Siegert, Phys. Rev. 56, 750 (1939).PHRVAO
2. B. Simon, Ann. Math. 97, 247 (1973).ANMAAH
3. R. J. Damburg and V. V. Kolosov, J. Phys. B 9, 3149 (1976).JPAPEH
4. S. Graffi and V. Grecchi, Commun. Math. Phys. 62, 83 (1978).CMPHAY
5. V. S. Popov, V. D. Mur, A. V. Sergeev, and V. M. Weinberg, Phys. Lett. A 149, 418 (1990).PYLAAG
6. V. S. Popov, V. D. Mur, and A. V. Sergeev, Phys. Lett. A 149, 418 (1990).PYLAAG
7. W. P. Reinhardt, Int. J. Quantum Chem. Symp. 10, 359 (1976).
8. E. Brandas and P. Froelich, Phys. Rev. A 16, 2207 (1977).PLRAAN
9. L. Benassi and V. Grecchi, J. Phys. B 13, 911 (1980).JPAPEH
10. A. Maquet, S.-I. Chu, and W. P. Reinhardt, Phys. Rev. A 27, 2946 (1983).PLRAAN
11. D. A. Telnov, J. Phys. B 22, L399 (1989).JPAPEH
12. G. Alvarez, R. J. Damburg, and H. J. Silverstone, Phys. Rev. A 44, 3060 (1991).PLRAAN
13. T. Bergeman, C. Harvey, K. B. Butterfield, H. C. Bryant, D. A. Clark, P. A. M. Gram, D. MacArthur, M. Davis, J. B. Donahue, J. Dayton, and W. W. Smith, Phys. Rev. Lett. 53, 775 (1984).PRLTAO
14. H. Rottke and K. H. Welge, Phys. Rev. A 33, 301 (1986).PLRAAN
15. F. M. Fernandez, Phys. Rev. A 54, 1206 (1996).PLRAAN
16. O. Hirschfelder and L. A. Curtis, J. Chem. Phys. 55, 1395 (1971).JCPSA6
17. M. H. Alexander, Phys. Rev. 178, 34 (1969).PHRVAO
18. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations (Oxford University Press, London, 1958).
19. W. P. Reinhardt, Int. J. Quantum Chem. 21, 133 (1982).IJQCB2
20. V. Franceschini, V. Grecchi, and H. J. Silverstone, Phys. Rev. A 32, 1338 (1985).PLRAAN
21. H. J. Silverstone, Int. J. Quantum Chem. 29, 261 (1986).IJQCB2
22. J. N. Silverman and C. A. Nicolaides, Chem. Phys. Lett. 153, 61 (1988).CHPLBC
23. I. W. Herbst and B. Simon, Phys. Rev. Lett. 41, 67 (1978).PRLTAO
24. E. Caliceti, V. Grecchi, and M. Maioli, Commun. Math. Phys. 104, 163 (1986).CMPHAY
25. E. Caliceti, V. Grecchi, and M. Maioli, Commun. Math. Phys. 157, 347 (1993).CMPHAY
26. H. J. Silverstone, B. G. Adams, J. Cizek, and P. Otto, Phys. Rev. Lett. 43, 1498 (1979).PRLTAO
27. V. Privman, Phys. Rev. A 22, 1833 (1980).PLRAAN
28. R. F. Stebbings, Science 193, 537 (1976).SCIEAS
29. L. Benassi, B. Grecchi, E. Harell, and B. Simon, Phys. Rev. Lett. 42, 704, 1430(E) (1979).PRLTAO
30. J. J. Loeffel, in Large-Order Behavior of Perturbation Theory, edited by J. C. Le Guillou and J. Zinn-Justin (North-Holland, Amsterdam, 1990), pp. 524–526.
31. G. Alvarez and H. J. Silverstone, Phys. Rev. A 50, 4679 (1994).PLRAAN
32. M. Hehenberger, H. V. McIntosh, and E. Brändas, Phys. Rev. A 10, 1494 (1974).PLRAAN
33. J. N. Silverman and J. Hinze, Chem. Phys. Lett. 128, 466 (1986); CHPLBC
34. Phys. Rev. A 37, 1208 (1988).PLRAAN
35. G. M. Fikhtengolts, Lektcii po differentcialnomu i integralnomu ischisleniyu (Fizmatgiz, Moscow, 1962).
36. Tables of Integrals, Series and Products, edited by I. S. Gradshtein and I. M. Ryzhik (Academic Press, New York, 1965).
37. Integrali i ryadi, edited by A. P. Prudnikov, Y. A. Brichkov, and O. I. Maritchev (Nauka, Moscow, 1981).