Representation theory of deformed oscillator algebras

Helvetica Physica Acta

Volumn 69, Issue 2, 1996, Pages 141-157

  Quesne, Christiane ^a,b   Vansteenkiste, Nicolas ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b FNRS ^*

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37849186044     PISSN: 00180238     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. M. Arik and D. D. Coon, J. Math. Phys. 17 (1976) 524.
2. V. Kuryshkin, Ann. Fond. L. de Broglie 5 (1980) 111.
3. L. C. Biedenharn, J. Phys. A 22 (1989) L873.
4. A. J. Macfarlane, J. Phys. A 22 (1989) 4581.
5. T. Hayashi, Commun. Math. Phys. 127 (1990) 129.
6. D. B. Fairlie and C. K. Zachos, Phys. Lett. B 256 (1991) 43;
7. D. B. Fairlie and J. Nuyts, J. Math. Phys. 35 (1994) 3794.
8. O. W. Greenberg, Phys. Rev. Lett. 64 (1990) 705;
9. Phys. Rev. D 43 (1991) 4111;
10. D. I. Fivel, Phys. Rev. Lett. 65 (1990) 3361.
11. C. Quesne, J. Phys. A 27 (1994) 5919.
12. N. M. Bogoliubov, A. V. Rybin and J. Timonen, J. Phys. A 27 (1994) L363.
13. C. Daskaloyannis, J. Phys. A 25 (1992) 2261;
14. D. Bonatsos and C. Daskaloyannis, Chem. Phys. Lett. 203 (1993) 150;
15. D. Bonatsos, C. Daskaloyannis and K. Kokkotas, Phys. Rev. A 50 (1994) 3700.
16. C. Quesne, Phys. Lett. A 193 (1994) 245.
17. D. Bonatsos, J. Phys. A 25 (1992) L101;
18. D. Bonatsos and C. Daskaloyannis, Phys. Lett. B 278 (1992) 1.
19. Z. Chang, H. Y. Guo and H. Yan, Phys. Lett. A 150 (1991) 192;
20. Z. Chang and H. Yan, Phys. Lett. A 158 (1991) 242;
21. Phys. Rev. A 43 (1991) 6043,
22. Phys. Rev. A 44 (1991) 7405;
23. D. Bonatsos and C. Daskaloyannis, Phys. Rev. A 46 (1992) 75,
24. D. Bonatsos and C. Daskaloyannis, Phys. Rev. A 48 (1993) 3611.
25. V. I. Man'ko, G. Marmo, S. Solimeno and F. Zaccaria, Phys. Lett. A 176 (1993) 173;
26. V. I. Man'ko, G. Marmo and F. Zaccaria, Phys. Lett. A 191 (1994) 13.
27. A. Jannussis, G. Brodimas and R. Mignani, J. Phys. A 24 (1991) L775;
28. A. Jannussis, J. Phys. A 26 (1993) L233.
29. C. Daskaloyannis, J. Phys. A 24 (1991) L789;
30. D. Bonatsos and C. Daskaloyannis, Phys. Lett. B 307 (1993) 100.
31. R. J. McDermott and A. I. Solomon, J. Phys. A 27 (1994) L15.
32. S. Meljanac, M. Mileković and S. Pallua, Phys. Lett. B 328 (1994) 55.
33. J. Katriel and C. Quesne, J. Math. Phys. 37 (1996) in press.
34. P. P. Kulish, Theor. Math. Phys. 86 (1991) 108.
35. G. Rideau, Lett. Math. Phys. 24 (1992) 147.
36. M. Chaichian, H. Grosse and P. Presnajder, J. Phys. A 27 (1994) 2045.
37. P. Kosiński, M. Majewski and P. Maślanka, Representations of generalized oscillator algebra, University of Lódź preprint (1995), q-alg/9501012.
38. C. Quesne and N. Vansteenkiste, J. Phys. A 28 (1995) 7019.
39. S. Chaturvedi and V. Srinivasan, Phys. Rev. A 44 (1991) 8020.
40. R. Chakrabarti and R. Jagannathan, J. Phys. A 24 (1991) L711.
41. K. Odaka, T. Kishi and S. Kamefuchi, J. Phys. A 24 (1991) L591;
42. S. Chaturvedi, V. Srinivasan and R. Jagannathan, Mod. Phys. Lett. A 8 (1993) 3727.
43. C. H. Oh and K. Singh, J. Phys. A 27 (1994) 5907.
44. N. Aizawa, Phys. Lett. A 177 (1993) 195;
45. C. Delbecq and C. Quesne, Phys. Lett. B 300 (1993) 227.
46. I. Tamm, J. Phys. (USSR) 9 (1945) 499;
47. S. M. Dancoff, Phys. Rev. 78 (1950) 382.