Algebraic solutions for all dihedral groups

Journal of Mathematical Physics

Volumn 41, Issue 12, 2000, Pages 8196-8222

  Chen, Jin Quan ^a   Fan, Peng Dong ^a   McAven, Luke ^a,b   Butler, Philip ^b  

^a NANJING UNIVERSITY   (China)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034365807     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1286513     Document Type: Article

References (40)

1. M. A. Melvin, Rev. Mod. Phys. 28, 18 (1956).
2. R. McWeeny, Symmetry. An Introduction to Group Theory and its Applications (Pergamon, Oxford, 1963).
3. G. F. Koster, J. O. Dimmock, R. G. Wheeler, and H. Statz, Properties of the Thirty-two Point Groups (MIT, Cambridge, MA, 1963).
4. Y. Onodera and M. Okazaki, J. Phys. Soc. Jpn. 21, 2400 (1966).
5. C. J. Bradley and A. P. Cracknell, The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups (Clarendon, London, 1972).
6. R. M. Golding and J. D. Newmarch, Mol. Phys. 33, 1301 (1977).
7. P. H. Butler, Point Group Symmetry Applications: Methods and Tables (Plenum, New York, 1981).
8. T. Damhus, S. E. Harnung, and C. E. Schaffer, Theor. Chim. Acta 65, 389 (1984).
9. S. L. Altmann, Rotations, Quaternions and Double Groups (Clarendon, Oxford, 1986).
10. S. L. Altmann, Mol. Phys. 38, 489 (1979); S. L. Altmann and F. Palacio, ibid. 38, 513 (1979); S. L. Altmann and P. Herzig, ibid. 45, 585 (1982).
11. S. L. Altmann, Mol. Phys. 38, 489 (1979); S. L. Altmann and F. Palacio, ibid. 38, 513 (1979); S. L. Altmann and P. Herzig, ibid. 45, 585 (1982).
12. S. L. Altmann, Mol. Phys. 38, 489 (1979); S. L. Altmann and F. Palacio, ibid. 38, 513 (1979); S. L. Altmann and P. Herzig, ibid. 45, 585 (1982).
13. J. Q. Chen, Group Representation Theory for Physicists (World Scientific, Singapore, 1989).
14. W. G. Harter, Principles of Symmetry, Dynamics and Spectroscopy (Wiley, New York, 1993).
15. G. W. Fernando, M. Weinert, R. E. Watson, and J. W. Davenport, J. Comput. Phys. 112, 282 (1994).
16. E. P. Wigner, Gruppentheorie und ihre Andwendung auf die Quantenmechanik der Atom Spektren (Vieweg, Braunschwieg, 1931)
17. F. C. von der Lage and H. A. Bethe, Phys. Rev. 71, 612 (1947).
18. S. L. Altmann, Proc. Cambridge Philos. Soc. 53, 343 (1957); S. L. Altmann and A. P. Cracknell, Rev. Mod. Phys. 37, 19 (1965); S. L. Altmann and C. J. Bradley, ibid. 37, 33 (1965).
19. S. L. Altmann, Proc. Cambridge Philos. Soc. 53, 343 (1957); S. L. Altmann and A. P. Cracknell, Rev. Mod. Phys. 37, 19 (1965); S. L. Altmann and C. J. Bradley, ibid. 37, 33 (1965).
20. S. L. Altmann, Proc. Cambridge Philos. Soc. 53, 343 (1957); S. L. Altmann and A. P. Cracknell, Rev. Mod. Phys. 37, 19 (1965); S. L. Altmann and C. J. Bradley, ibid. 37, 33 (1965).
21. A. P. Cracknell, Proc. Cambridge Philos. Soc. 65, 567 (1969); A. P. Cracknell and S. J. Joshua, ibid. 67, 647 (1970).
22. A. P. Cracknell, Proc. Cambridge Philos. Soc. 65, 567 (1969); A. P. Cracknell and S. J. Joshua, ibid. 67, 647 (1970).
23. S. L. Altmann and P. Herzig, Point-Group Theory Tables (Clarendon, Oxford, 1994)
24. P. H. Butler, Philos. Trans. R. Soc. London, Ser. A 277, 545 (1975).
25. J. L. Ping, Q. R. Zheng, B. Q. Chen, and J. Q. Chen, Comput. Phys. Commun. 52, 355 (1989); J. Q. Chen and J. L. Ping, ibid. 120, 71 (1999).
26. J. L. Ping, Q. R. Zheng, B. Q. Chen, and J. Q. Chen, Comput. Phys. Commun. 52, 355 (1989); J. Q. Chen and J. L. Ping, ibid. 120, 71 (1999).
27. B. G. Searle and P. H. Butler, J. Phys. A 21, 1977 (1988).
28. H. J. Ross, L. F. McAven, K. Shinagawa, and P. H. Butler, J. Comput. Phys. 128, 331 (1996).
29. P. H. Butler and M. F. Reid, J. Phys. A 12, 1655 (1979).
30. M. F. Reid, J. Phys. A 17, 1755 (1984).
31. J. Q. Chen and P. D. Fan, J. Math. Phys. 39, 467 (1998).
32. J. Q. Chen and P. D. Fan, J. Math. Phys. 39, 5502 (1998).
33. J. Q. Chen and P. D. Fan, J. Math. Phys. 39, 5519 (1998).
34. P. D. Fan and J. Q. Chen, Int. J. Quantum Chem. 74, 7 (1999).
35. P. D. Fan, J. Q. Chen, and J. Paldus, Int. J. Quantum Chem. 76, 585 (2000).
36. P. D. Fan, J. Q. Chen, and J. P. Draayer, Acta Crystallogr., Sect. A: Found. Crystallogr. 55, 87 (1999).
37. D. Fan, J. Q. Chen, and J. P. Draayer, Acta Crystallogr., Sect. A: Found. Crystallogr. 55, 1049 (1999).
38. D. J. Klein and T. H. Seligman, Kinam 4, 349 (1982).
39. B. G. Wybourne, Classical Groups for Physicists (Wiley, New York, 1974).
40. M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).