Expansions for the eigenvalues of three-term recurrence relations. Two applications in molecular physics

European Physical Journal D

Volumn 4, Issue 1, 1998, Pages 63-72

  Hadinger, G ^a,b   Aubert Frecon M ^a  

^a University of Lyon   (France)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

SCHRODINGER EQUATION;

APPROXIMATE EXPRESSIONS; BOUND-STATES; CONTINUUM STATE; DIATOMICS; EIGEN-VALUE; EXACT SOLUTION; INTENSE LASER FIELD; THREE TERM RECURRENCE RELATIONS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0001988865     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100530050185     Document Type: Article

References (23)

1. G. Hadinger, M. Aubert-Frécon, G. Hadinger, J. Phys. B: At. Mol. Opt. Phys. 22, 697 (1989).
2. W.G. Baber, H.R. Hassé, Proc. Camb. Soc. 31, 564 (1935).
3. C. Flammer, Spheroidal wave functions (Stanford University Press, California, 1957).
4. J.D. Power, Philos. Trans. R. Soc. Lond. A 274, 663 (1973).
5. I.V. Komarov, S.Yu. Slavyanov, J. Phys. B 1, 1066 (1968).
6. I.V. Komarov, L.I. Ponomarev, S.Yu. Slavyanov, Spheroidal and Coulomb Spheroidal functions (Nauka, Moscow, 1976).
7. D.I. Abramov, S.Yu. Slavyanov, J. Phys. B: At. Mol. Phys. 11, 2229 (1978).
8. D.I. Abramov, A.Ya. Kasakov, L.I. Ponomarev, S.Yu. Slavyanov, L.N. Somov, J. Phys. B: At. Mol. Phys. 12, 1761 (1979).
9. B. Friedrich, D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995).
10. E.H. Kerner, Phys. Rev. 83, 71 (1951).
11. K. Banerjee, J.K. Bhattacharjee, Phys. Rev. D 29, 1111 (1984).
12. A. Yanacopoulo, G. Hadinger, M. Aubert-Frécon, J. Phys. B: At. Mol. Opt. Phys. 22, 2427 (1989).
13. A.H. Wilson, Proc. Roy. Soc. Lond. A 118 617, 635 (1928).
14. E.A. Hylleraas, Z. Phys. 71, 739 (1931).
15. G. Jaffé, Z. Phys. 87, 535 (1934).
16. J. Rankin, W.R. Thorson, J. Comput. Phys. 32, 437 (1979).
17. I.S. Gradshtein, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New-York and London, 1965).
18. L.I. Ponomarev, L.N. Somov, J. Comput. Phys. 20, 183 (1976).
19. A. Hautot, M.T. Ploumhans, Bull. Soc. Math. Belg. 26, 133 (1979).
20. J.P. Killingbeck, J. Phys. B: Math. Gen. 18, 245 (1985).
21. M. Abramowitz, I.A. Segun, Handbook of Mathematical Functions (Dover, New-York, 1965).
22. J.P. Killingbeck, Microcomputer Algorithms. Action from Algebra (Hilger, Bristol, 1991).
23. G. Hadinger, M. Aubert-Frécon, G. Hadinger, J. Phys. B: At. Mol. Opt. Phys. 29, 2951 (1996).