The energy operator for a model with a multiparametric infinite statistics

Journal of Physics A: Mathematical and General

Volumn 36, Issue 23, 2003, Pages 6337-6349

  Meljanac, Stjepan ^a   Perica, Ante ^a   Svrtan, Dragutin ^b  

^a RUDER BO KOVI INSTITUTE   (Croatia)

^b UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242298163     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/23/305     Document Type: Article

References (17)

1. Bardek V, Meljanac S and Perica A 1994 Generalized statistics and dynamics in curved spacetime Phys. Lett. B 338 20-2
2. Greenberg O W 1990 Example of infinite statistics Phys. Rev. Lett. 64 705-8
3. Greenberg O W 1991 Particles with small violations of Fermi or Bose statistics Phys. Rev. D 43 4111-20
4. Greenberg O W 1992 Interactions of particles having small violations of statistics Physica A 180 419-27
5. Mohapatra R N 1990 Infinite statistics and a possible small violation of the Pauli principle Phys. Lett. B 242 407-10
6. Møller J S 1993 Second quantization in a quon algebra J. Phys. A: Math. Gen. 26 562-652
7. Meljanac S and Perica A 1994 Generalized quon statistics Mod. Phys. Lett. A 9 3293-9
8. Meljanac S and Perica A 1994 Number operators in a general quon algebra J. Phys. A: Math. Gen. 27 4737-44
9. Meljanac S and Svrtan D 1996 Study of Gram matrices in Fock representation of multiparametric canonical commutation relations, extended Zagier's conjecture, hyperplane arrangements and quantum groups Math. Commun. 1 1-24 (math-ph/0304039)
10. qkl}- canonical commutation relations and applications to hyperplane arrangements and quantum groups. Proof of an extension of Zagier's conjecture Preprint RBI-TH-5/Nov.1995, math- ph/0304040
11. Stanciu S 1992 The energy operator for infinite statistics Commun. Math. Phys. 147 211-6
12. Varchenko A 1993 Bilinear form of real configuration of hyperplanes Adv. Math. 97 110-44
13. Werner R F 1993 The free quon gas suffer Gibbs' paradox Phys. Rev. D 48 2929-34
14. Wu Z and Yu T 1993 Construction of Bose and Fermi operators in terms of q = 0 quon operators Phys. Lett. A 179 266-70
15. Zagier D 1992 Readability of a model in infinite statistics Commun. Math. Phys. 147 199-210
16. Božejko M and Speicher R 1994 Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces Math. Ann. 300 97-120
17. Jørgensen P E T, Schmitt L M and Werner R F 1995 Positive representations of general commutation relations allowing Wick ordering J. Fund. Anal. 134 33-99