Algebraic expressions for O(N)⊃O(N-1) reduction factors for the three-rowed irreducible representations

Journal of Mathematical Physics

Volumn 39, Issue 1, 1998, Pages 630-649

  Sun, Hong Zhou ^a,b   Ruan, Dong ^a  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039318035     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532339     Document Type: Article

References (28)

1. B. R. Judd, Operator Techniques in Atomic Spectroscopy (McGraw-Hill, New York, 1963).
2. B. G. Wybourne, Classical Groups for Physicists (John Wiley, New York, 1974).
3. A. Arima and F. Iachello, Ann. Phys. (N.Y.) 123, 468 (1979).
4. P. Van Isacker, A. Frank, and H. Z. Sun, Ann. Phys. (N.Y.) 157, 183 (1984).
5. G. L. Long, J. Phys. A 28, 64 (1995).
6. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, New York, 1957).
7. L. C. Biedenharn and J. D. Louck, Angular Momentum in Quantum Physics (Addison-Wesley, Reading MA, 1981).
8. L. C. Biedenharn, J. Math. Phys. 2, 433 (1961).
9. A. M. Gavrilik, Kiev Institute of Theoretical Physics, preprint ITP-73-155P, 1973 (in Russian); also see preprint ITP-77-26E, 1973 (in English).
10. E. Z. Norvaisas and S. J. Ališauskas, Liet. Fiz. Rinkinys 14, 443 (1974).
11. S. J. Ališauskas, Part. Nuclei 14, 1336 (1983); Sov. J. Part. Nucl. 14, 563 (1983).
12. S. J. Ališauskas, Part. Nuclei 14, 1336 (1983); Sov. J. Part. Nucl. 14, 563 (1983).
13. S. J. Ališauskas, J. Phys. A 20, 35 (1987).
14. FPan and Y. F. Cao, J. Math. Phys. 29, 2384 (1988).
15. G. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963); 5, 1723,1730 (1964); 6, 1845 (1965).
16. G. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963); 5, 1723,1730 (1964); 6, 1845 (1965).
17. G. E. Baird and L. C. Biedenharn, J. Math. Phys. 4, 1449 (1963); 5, 1723,1730 (1964); 6, 1845 (1965).
18. H. Z. Sun, Sci. Sinica 14, 840 (1965).
19. Q. Z. Han and H. Z. Sun, Group Theory (Peking University Press, Beijing, 1987).
20. H. Z. Sun, Phys. E. Fort. Phys. Nucl. 4, 73,137,265 (1980).
21. H. Z. Sun and Q. Z. Han, Sci. Sinica 24, 914 (1981).
22. Q. Z. Han, Nuovo Cimento A 64, 391 (1981).
23. Q. Z. Han, H. Z. Sun, M. Zhang, and D. H. Feng, J. Math. Phys. 26, 1822 (1985).
24. Z. R. Yu, O. Scholten, and H. Z. Sun, J. Math. Phys. 27, 442 (1986).
25. Q. Z. Han, E. G. Zhao, and H. Z. Sun, J. Phys. A 22, 1495 (1989).
26. H. Z. Sun and D. Ruan, preprint AS-ITP-96-14, 1996 [including some practical tables for O(N)⊃O(N-1) reduction factors].
27. I. M. Gel'fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and Their Applications (Pergamon Press, New York, 1963).
28. G. Racah, Group Theory and Spectroscopy, Lectures at the Institute for Advanced Study (Princeton University Press, New York, 1951).