Asymptotic limits of SU(2) and SU(3) Wigner functions

Journal of Mathematical Physics

Volumn 42, Issue 5, 2001, Pages 2315-2342

  Rowe, D J ^a   De Guise, H ^b,d   Sanders, B C ^c  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

^c MACQUARIE UNIVERSITY   (Australia)

^d UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035532275     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1358305     Document Type: Article

References (33)

1. B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986).
2. R. A. Campos, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 40, 1371 (1989).
3. B. C. Sanders and G. J. Milburn, Phys. Rev. Lett. 75, 2944 (1995); B. C. Sanders, G. J. Milburn, and Z. Zhang, J. Mod. Opt. 44, 1309 (1997).
4. B. C. Sanders and G. J. Milburn, Phys. Rev. Lett. 75, 2944 (1995); B. C. Sanders, G. J. Milburn, and Z. Zhang, J. Mod. Opt. 44, 1309 (1997).
5. R. Walser, Phys. Rev. Lett. 79, 4724 (1997).
6. M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, Phys. Rev. Lett. 73, 58 (1994).
7. B. C. Sanders, H. de Guiss, D. J. Rowe, and A. Mann, J. Phys. A 32, 7791 (1999).
8. G. D'Ariano and M. G. A. Paris, Phys. Rev. A 55, 2267 (1997).
9. G. Szegö, Orthogonal Polynomials (American Mathematical Society, Providence, Rhode Island, 1939).
10. P. J. Brussaard and H. A. Tolhoek, Physica 23, 955 (1957).
11. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, Berlin, 1966).
12. F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972).
13. R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications (Wiley, New York, 1974).
14. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988), p. 115.
15. C. C. Lassig and G. J. Milburn, Phys. Rev. A 48, 1854 (1993).
16. L. C. Biedenharn, J. D. Louck, and P. A. Carruthers, Angular Momentum in Quantum Mechanics (Addison Wesley, Reading, MA, 1981).
17. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1965).
18. T. Holstein and H. Primakoff, Phys. Rev. 58, 1098 (1940).
19. D. J. Rowe and J. Repka, J. Math. Phys. 38, 4363 (1997).
20. D. J. Rowe and C. Bahri, J. Math. Phys. 41, 6544 (2000).
21. D. J. Rowe, B. C. Sanders, and H. de Guise, J. Math. Phys. 40, 3604 (1999).
22. C. M. Caves, Phys. Rev. D 23, 1693 (1981).
23. A. Perelomov, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and their Applications (Springer, Berlin, 1986); R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972); J. R. Klauder, J. Math. Phys. 4, 1058 (1963); J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
24. A. Perelomov, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and their Applications (Springer, Berlin, 1986); R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972); J. R. Klauder, J. Math. Phys. 4, 1058 (1963); J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
25. A. Perelomov, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and their Applications (Springer, Berlin, 1986); R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972); J. R. Klauder, J. Math. Phys. 4, 1058 (1963); J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
26. A. Perelomov, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and their Applications (Springer, Berlin, 1986); R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972); J. R. Klauder, J. Math. Phys. 4, 1058 (1963); J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
27. A. Perelomov, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and their Applications (Springer, Berlin, 1986); R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972); J. R. Klauder, J. Math. Phys. 4, 1058 (1963); J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
28. A. Vourdas, Phys. Rev. A 41, 1653 (1990).
29. C. Brif and A. Mann, Phys. Rev. A 54, 4505 (1996).
30. C. M. Caves and B. L. Schumaker, Phys. Rev. A 31, 3068 (1985); B. L. Schumaker and C. M. Caves, ibid. 31, 3093 (1985).
31. C. M. Caves and B. L. Schumaker, Phys. Rev. A 31, 3068 (1985); B. L. Schumaker and C. M. Caves, ibid. 31, 3093 (1985).
32. M. J. Holland and K. Burnett, Phys. Rev. Lett. 71, 1355 (1993).
33. P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).