Boundary conditions on internal three-body wave functions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 4, 2000, Pages 425021-4250216

  Mitchell, Kevin A ^a   Littlejohn, Robert G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

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[No Author keywords available]

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EID: 0347108472     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. B. T. Sutcliffe, in Quantum Dynamics of Molecules, edited by R. G. Wooley (Plenum, New York, 1980), p. 1.
2. G. S. Ezra, Symmetry Properties of Molecules (Springer, New York, 1982).
3. R. G. Littlejohn and M. Reinsch, Rev. Mod. Phys. 69, 213 (1997).
4. V. Aquilanti, S. Cavalli, and G. Grossi, J. Chem. Phys. 85, 1362 (1986).
5. V. Aquilanti, S. Cavalli, and D. De Fazio, J. Chem. Phys. 109, 3792 (1998).
6. D. O. Harris, G. G. Engerholm, and W. D. Gwinn, J. Chem. Phys. 43, 1515 (1965).
7. A. S. Dickinson and P. R. Certain, J. Chem. Phys. 49, 4209 (1968).
8. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982).
9. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
10. J. V. Lill, G. A. Parker, and J. C. Light, J. Chem. Phys. 85, 900 (1986).
11. D. Baye and P.-H. Heenen, J. Phys. A 19, 2041 (1986).
12. M. J. Davis and E. J. Heller, J. Chem. Phys. 71, 3383 (1979).
13. I. Daubechies, Ten Lectures on Wavelets (Society for Industrial and Applied Mathematics, Philadelphia, 1992).
14. B. K. Kendrick, R. T. Pack, R. B. Walker, and E. F. Hayes, J. Chem. Phys. 110, 6673 (1999).
15. A. Messiah, Quantum Mechanics (North-Holland. New York, 1966).
16. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957).
17. V. A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954); K. Nor. Vidensk. Selsk. Forh. 31, 138 (1958); 31, 145 (1958).
18. V. A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954); K. Nor. Vidensk. Selsk. Forh. 31, 138 (1958); 31, 145 (1958).
19. V. A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954); K. Nor. Vidensk. Selsk. Forh. 31, 138 (1958); 31, 145 (1958).
20. R. G. Littlejohn, K. A. Mitchell, V. Aquilanti, and S. Cavalli, Phys. Rev. A 58, 3705 (1998).
21. R. G. Littlejohn, K. A. Mitchell, M. Reinsch, V. Aquilanti, and S. Cavalli, Phys. Rev. A 58, 3718 (1998).
22. R. T. Pack, in Advances in Molecular Vibrations and Collision Dynamics, edited by J. M. Bowman (JAI Press, Greenwich, CT, 1994), Vol. 2A, p. 111.
23. F. T. Smith, J. Math. Phys. 3, 735 (1962).
24. V. Aquilanti and S. Cavalli, J. Chem. Phys. 85, 1355 (1986).
25. V. Aquilanti, S. Cavalli, and G. Grossi, in Advances in Molecular Vibrations and Collision Dynamics, edited by J. M. Bowman (JAI Press, Greenwich, CT, 1993), Vol. 2A, p. 147.
26. T. H. Gronwall, Ann. Math. 33, 279 (1932).
27. A. J. Dragt, J. Math. Phys. 6, 533 (1965).
28. T. Iwai, J. Math. Phys. 28, 1315 (1987).
29. L. C. Biedenharn and J. D. Louck, Angular Momentum in Quantum Physics (Addison-Wesley, Reading, MA, 1981).
30. M. Spivak, A Comprehensive Introduction to Differential Geometry (Publish or Perish, Berkeley, 19791, Vol. 1.
31. M. Nakahara, Geometry, Topology, and Physics (IOP Publishing, Bristol, 1990).
32. L. Wolniewicz, J. Chem. Phys. 90, 371 (1989).