Uniform semiclassical approximation for the Wigner 6j-symbol in terms of rotation matrices

Journal of Physical Chemistry A

Volumn 113, Issue 52, 2009, Pages 14904-14922

  Littlejohn, Robert G ^a   Yu, Liang ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NOT GIVEN; NUMERICAL TESTS; QUANTUM NUMBERS; ROTATION MATRICES; SEMI-CLASSICAL APPROXIMATION; UNIFORM ASYMPTOTIC APPROXIMATION; WIGNER ROTATION;

QUANTUM THEORY;

ROTATION;

EID: 73949091108     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp905056y     Document Type: Article

References (34)

1. Edmonds, A. R. Angular Momentum in Quantum Mechanics; Princeton University Press: Princeton, NJ, 1960.
2. Biedenharn, L. C.; Louck, J. D. The Racah-Wigner Algebra in Quantum Theory; Addison-Wesley: Reading, MA, 1981.
3. Brink, D. M.; Satchler, G. R. Angular Momentum; Oxford University Press: Oxford, U.K., 1993.
4. Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K. Quantum Theory of Angular Momentum; World Scientific: Singapore, 1981.
5. De Fazio, D.; Cavalli, S.; Aquilanti, V. Int. J. Quantum Chem. 2003, 93, 91-111.
6. Anderson, R. W.; Aquilanti, V. J. Chem. Phys. 2006, 124, 214104.
7. Aquilanti, V.; Cavalli, S.; De Fazio, D. J. Phys. Chem. 1995, 99, 15694-15698.
8. Aquilanti, V.; Cavalli, S.; Coletti, C. Chem. Phys. Lett. 2001, 344, 587-600.
9. Aquilanti, V.; Coletti, C. Chem. Phys. Lett. 2001, 344, 601-611.
10. Ponzano, G; Regge, T. In Spectroscopy and Group Theoretical Methods in Physics; Bloch, F., Ed.; North-Holland: Amsterdam, 1968; pp 1-58.
11. Schulten, K.; Gordon, R. G. J. Math. Phys. 1975, 16, 1961-1970.
12. Schulten, K.; Gordon, R. G. J. Math. Phys. 1975, 16, 1971-1988.
13. Neville, D. J. Math. Phys. 1971, 12, 2438-2453.
14. Roberts, J. Geometry Topology 1999, 3, 21-66.
15. Charles, L. On the quantization of polygon spaces. 2008, arXiv: math/0806.1585. arXiv.org e-Print archive.
16. Sastry, K. R. S. Forum Geom. 2002, 2, 167-173.
17. Aquilanti, V.; Haggard, H. M.; Littlejohn, R. G.; Yu, L. J. Phys. A 2007, 40, 5637-5674.
18. Braun, P. A. Rev. Mod. Phys. 1993, 65, 115-161.
19. Kapovich, M.; Millson, J. J. J. Differential Geometry 1996, 44, 479-513.
20. Abraham, R.; Marsden, J. E. Foundations of Mechanics; Benjamin/ Cummings: Reading, MA, 1978.
21. Biedenharn, L. C.; van Dam, H. Quantum Theory of Angular Momentum; Academic Press: New York, 1965.
22. Miller, W. H. Adv. Chem. Phys. 1974, 25, 69.
23. Goldstein, H. Classical Mechanics, 2nd ed.; Addison-Wesley: Reading, MA, 1980.
24. Wigner, E. P. Group Theory; Academic Press: New York, 1959.
25. Littlejohn, R. G. J. Math. Phys. 1990, 31, 2952-2977.
26. Brussaard, P. J.; Tolhoek, H. A. Physica 1957, 23, 955-971.
27. Braun, P. A.; Gerwinski, P.; Haake, F.; Schomerus, H. Z. Phys. B 1996, 100, 115-127.
28. Sokolovski, D.; Connor, J. N. L. Chem. Phys. Lett. 1999, 305, 238-246.
29. Berry, M. V.; Mount, K. E.Rep. Prog. Phys. 1972, 35, 315-397.
30. Cargo, M. C.; Littlejohn, R. G.Phys. Rev. E 2002, 65-026703.
31. Cargo, M.; Gracia-Saz, A.; Littlejohn, R. G.; Reinsch, M.; de M Rios, P. J. Phys. A 2005, 38, 1977-2004.
32. Cargo, M.; Gracia-Saz, A.; Littlejohn, R. G. Multidimensional quantum normal forms. 2006, arXiv:math-ph/0507032. arXiv.org e-Print archive
33. Anderson, R. W.; Aquilanti, V.; Ferreira, C da S J. Chem. Phys. 2008, 129, 161101.
34. Ragni, M.; Bitencourt, A. C. P.; Ferreira, C da S.; Aquilanti, V.; Anderson, R. W.; Littlejohn, R. G.; Int. J. Quantum Chem. 2009, in press.