Relationship between the adiabatic hyperspherical and the born-oppenheimer approach to the coulomb three-body problem

Physics of Atomic Nuclei

Volumn 60, Issue 7, 1997, Pages 1133-1144

  Abramov, D I ^a   Gusev, V V ^a   Ponomarev, L I ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031491070     PISSN: 10637788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Fock, V.A., Kgl. Norske Vidensk. Selsk. Forh., 1958, vol. 31, p. 138.
2. Macek, J., J. Phys. B: At., Mol. Opt. Phys., 1968, vol. 1, p. 831.
3. Fano, U., Rep. Prog. Phys., 1983, vol. 46, p. 97.
4. Bolero, J., Phys. Rev. A; Gen. Phys., 1987, vol. 35, p. 36.
5. Kadomtsev, M.B. and Vinitsky, S.I., J. Phys. B: At., Mol. Opt. Phys., 1987, vol. 20, p. 5723.
6. Fukuda, H., Ishihara, T., and Hara, S., Phys. Rev. A: Gen. Phys., 1990, vol. 41, p. 145.
7. Gusev, V.V., Puzynin, V.I., Kostrykin, V.V., Kvitsinsky, A.A., Merkuriev, S.P., and Ponomarev, L.I., Few Body Systems, 1990, vol. 9, p. 137.
8. Parker, G.A. and Pack, R.T., J. Chem. Phys., 1993, vol. 98, p. 6883.
9. Igarashi, A. and Toshima, N., Phys. Rev. A: Gen. Phys., 1994, vol. 50, p. 232.
10. Zhou, Y. and Lin, C.D., J. Phys. B: At., Mol. Opt. Phys., 1994, vol. 27, p. 5065.
11. Lin, C.D., Phys. Rep., 1995, vol. 257, p. 1.
12. Born, M. and Oppenheimer, R., Ann. Phys. (Lepzig), 1927, vol. 84, p. 457.
13. Komarov, I.V., Ponomarev, L.I., and Slavyanov, S.Yu., Sferoidal'nye i kulonovskie sferoidal'nye funktsii (Spheroidal and Coulomb Spheroidal Functions), Moscow: Nauka, 1976.
14. Abramov, D.I. and Slavyanov, S.Yu., J. Phys. B: At., Mol. Opt. Phys., 1978, vol. 11, p. 2229.
15. Ponomarev, L.I. and Vinitsky, S.I., J. Phys. B: At., Mol. Opt. Phys., 1979, vol. 12, p. 567.
16. Ponomarev, L.I., Vinitsky, S.I., and Vucajlovic, F.R., J. Phys. B: At., Mol. Opt. Phys., 1980, vol. 13, p. 847.
17. Ponomarev, L.I., Somov, L.N., Vinitsky, S.I., and Vucajlovic, F.R., J. Phys. B: At., Mol. Opt. Phys., 1981, vol. 14, p. 591.
18. Vinitsky, S.I. and Ponomarev, L.I., Sov. J. Part. Nucl., 1982, vol. 13, p. 557.
19. Greene, C.H., Phys. Rev. A: Gen. Phys., 1982, vol. 26, p. 2974.
20. Macek, J. and Jerjian, K.A., Phys. Rev. A: Gen. Phys., 1986. vol. 33, p. 233.
21. Jerjian, K.A. and Macek, J., Phys. Rev. A: Gen. Phys., 1987, vol. 36, p. 2667.
22. Abrashkevich, A.J., Vinitsky, S.I., Kaschiev, M.S., and Puzynin, I.V., Sov. J. Nucl. Phys., 1988, vol. 48, p. 602.
23. Matveenko, A.V., Few Body Systems, 1993, vol. 14, p. 81.
24. Kostrykin, V.V. and Kvitsinsky, A.A., J. Math. Phys., 1994, vol. 35, p. 47.
25. Feagin, J.M. and Briggs, J.S., Phys. Rev. Lett., 1986, vol. 57, p. 984.
26. Tolstikhin, O.I., Watanabe, S., and Matsuzawa, M., Phys. Rev. Lett., 1995, vol. 74, p. 3573.
27. Abramov, D.I., Gusev, V.V., and Ponomarev, L.I., Contributed Papers of 14th Int. Conf. on Few Body Problems in Physics, Newport News: CEBAF, 1994, pp. 745, 749.
28. Abramov, D.I., Gusev, V.V., and Ponomarev, L.I., Preprint of Russian Research Centre Kurchatov Institute, Moscow, 1995, no. IAE-5890/12.
29. Varshalovich, D.A., Moskalev, A.N., and Khersonskii, V.K., Quantum Theory of Angular Momentum, Singapore: World Sci., 1988.
30. Gusev, V.V., Ponomarev, L.I., and Solov'ev, E.A., Hyperfine Interact., 1993, vol. 82, p. 53.
31. Landau, L.D. and Lifshitz, E.M., Quantum Mechanics, New York: Addison-Wesley, 1977.
32. Kvitsinsky, A.A., Few-Body Syst., 1991, vol. 10, p. 73.
33. Batemen Manuscript Project (Higher Transcendental Functions), Erdély, A., Ed., New York: McGraw-Hill, 1953, vol. 1.
34. Ponomarev, L.I., Contemp. Phys., 1990, vol. 31, p. 219.