Bound-state calculations of Coulomb three-body systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 6, 1999, Pages 4270-4280

  Frolov, Alexei M ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001705776     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.4270     Document Type: Article

References (29)

1. A.M. Frolov, Phys. Rev. A 57, 2436 (1998).
2. D.M. Bishop, A.M. Frolov, and V.H. Smith, Jr., Phys. Rev. A 51, 3636 (1995).
3. J.F. Babb and J. Shertzer, Chem. Phys. Lett. 189, 287 (1992).
4. B. Gremaud, D. Delande, and N. Billy, J. Phys. B 31, 383 (1998).
5. R.E. Moss, J. Chem. Soc., Faraday Trans. 89, 3851 (1993).
6. A.K. Bhatia, Phys. Rev. A 58, 2787 (1998).
7. A.M. Frolov and V.H. Smith, Jr., J. Phys. B 28, L449 (1995).
8. D.M. Bishop and L.M. Cheung, Phys. Rev. A 16, 640 (1977).
9. D. Mckenna and B. Webster, J. Chem. Soc., Faraday Trans. 1 80, 589 (1984)
10. J. Chem. Soc., Faraday Trans. 1D. MckennaB. Webster81, 225 (1985).
11. L.M. Delves and T. Kalotas, Aust. J. Phys. 21, 1 (1968).
12. A.M. Frolov, Zh. Éksp. Teor. Fiz. 92, 1959 (1987) [Sov. Phys. JETP 65, 1100 (1987)].
13. A.Yu. Yeremin, A.M. Frolov, and A.A. Nikishin, J. Phys. B 22, L171 (1989).
14. E.R. Cohen and B.N. Taylor, Phys. Today 51(8), 9 (1998).
15. A.M. Frolov, J. Phys. B 26, L845 (1993).
16. J. v. Neumann, Mathematical Foundations of Quantum Mechanics(Princeton University Press, Princeton, 1955).
17. For an arbitrary metric (or unitary) space X, the notation (Formula presented) means its completion, which is a complete metric (or Hilbert) space (for more details see, e.g., 17).
18. K. Maurin, Methods of Hilbert Spaces (PNW, Warzawa, 1967).
19. W. Rudin, Functional Analysis (McGraw-Hill, New York, 1963)
20. N.I. Akhiezer and I.M. Glazman, Theory of Linear Operators in Hilbert Space (Dover, New York, 1993). In the last book the compact operators are called complete continuous operators.
21. J. v. Neumann, Math. Ann. 102, 49 (1929).
22. A.M. Frolov and D.M. Bishop, Phys. Rev. A 45, 6236 (1992)
23. A.M. FrolovD.M. BishopJ. Phys. B 25, 3049 (1992)
24. J. Phys. BA.M. FrolovD.M. Bishop25, 3059 (1992).
25. F. Rellich, Math. Ann. 110, 342 (1934).
26. F. Rellich, Math. Ann. 111, 560 (1935).
27. V.A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954).
28. A.H. Nayfeh, Perturbation Methods (Wiley, New-York, 1973).
29. M. Born and J.R. Oppenheimer, Ann. Phys. (N.Y.) 84, 457 (1927).