On the combinatorics of normal ordering bosonic operators and deformations of it

Journal of Physics A: Mathematical and General

Volumn 36, Issue 16, 2003, Pages 4651-4665

  Schork, Matthias ^a  

^a NONE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037731682     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/16/314     Document Type: Article

References (51)

1. Katriel J 1974 Lett. Nuovo Cimento 10 565
2. Katriel J 2000 Phys. Lett. A 237 159
3. Andrews G E 1976 The Theory of Partitions (London: Addison-Wesley)
4. Comtet L 1974 Advanced Combinatorics (Dordrecht: Reidel)
5. Carlitz L 1933 Trans. Am. Math. Soc. 35 122
6. Carlitz L 1948 Duke Math. J. 15 987
7. Gould H W 1961 Duke Math. J. 28 281
8. Milne S C 1978 Trans. Am. Math. Soc. 245 89
9. Garsia A M and Remmel J B 1980 Eur. J. Comb. 1 47
10. Garsia A M and Remmel J B 1986 J. Comb. Theory A 41 246
11. Wachs M and White D 1991 J. Comb. Theory A 56 27
12. Zeng J 1995 J. Comput. Appl. Math. 57 413
13. Wagner C G 1996 Discrete Math 160 199
14. Arik M and Coon D D 1976 J. Math. Phys. 17 524
15. Kuryshkin V V 1980 Ann. Fond. Louis de Broglie 5 111
16. Biedenharn L C 1989 J. Phys. A: Math. Gen. 22 L873
17. Macfarlane A J 1989 J. Phys. A: Math. Gen. 22 4581
18. Floratos E G and Tomaras T N 1990 Phys. Lett. B 251 163
19. Kulish P P and Damaskinsky E V 1990 J. Phys. A: Math. Gen. 23 L415
20. Katriel J and Kibler M 1992 J. Phys. A: Math. Gen. 25 2683
21. Lorek A, Ruffing A and Wess J 1997 Z. Phys. C 74 369
22. Cerchiai B L, Hinterding R, Madore J and Wess J 1999 Eur. Phys. J.C 8 547
23. Wess J 1999 Preprint math-ph/9910013
24. Bonatsos D and Daskaloyannis C 1999 Prog. Part. Nucl. Phys. 43 537
25. Gruver J L 1999 Phys. Lett. A 254 1
26. Bardek V and Meljanac S 2000 Eur. Phys. J. C 17 539
27. Quesne C 2002 Preprint quant-ph/0206188
28. Parthasarathy R and Sridhar R 2002 Preprint math.QA/0208128
29. Chari V and Pressley A 1995 A Guide to Quantum Groups (Cambridge: Cambridge University Press)
30. Katriel J and Duchamp G 1995 J. Phys. A: Math. Gen. 28 7209
31. Katriel J 1998 J. Phys. A: Math. Gen. 31 3559
32. Lang W 2000 J. Int. Seqs. 12 article 01.1.4
33. Penson K A and Solomon A I 2002 Preprint quant-ph/0211028
34. Penson K A and Solomon A I 2002 Preprint quant-ph/0211061
35. Blasiak P, Penson K A and Solomon A I 2002 Preprint quant-ph/0212072
36. Fichtmüller M, Lorek A and Wess J 1996 Z. Phys. C 71 533
37. Wilf H A 1990 Generatingfunctionology (San Diego: Academic)
38. Parthasarathy R and Visvanathan K S 1991 J. Phys. A: Math. Gen. 24 613
39. Visvanathan K S, Parthasarathy R and Jagannathan R 1992 J. Phys. A: Math. Gen. 25 L335
40. Jing S and Xu J 1991 J. Phys. A: Math. Gen. 24 L891
41. Bonatsos D and Daskaloyannis C 1993 J. Phys. A: Math. Gen. 26 1589
42. Exton H 1983 q-Hypergeometric Functions and Applications (Chichester: Ellis Horwood)
43. Narayana Swamy P 1999 Preprint quant-ph/09909015
44. Narayana Swamy P 2001 Preprint quant-ph/0109062
45. Suslov S 2000 J. Phys. A: Math. Gen. 33 L375
46. Chaturvedi S, Kapoor A K, Sandhya R, Srinivasan V and Simon R 1991 Phys. Rev. A 43 4555
47. Chaturvedi S and Srinivasan V 1991 Phys. Rev. A 44 8020
48. Chakrabarti R and Jagannathan R 1992 J. Phys. A: Math. Gen. 25 6393
49. Chakrabarti R and Jagannathan R 1991 J. Phys. A: Math. Gen. 24 L711
50. Floreanini R, Lapointe L and Vinet L 1993 J. Phys. A: Math. Gen. 26 L611
51. Ren-Shan G 1994 J. Phys. A: Math. Gen. 27 L375