q-Functional Wick's theorems for particles with exotic statistics
Ilinski, K. N. ; Kalinin, G. V. ; Stepanenko, A. S.
arXiv, 9704181 / Harvested from arXiv
Text on arXiv
In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we prove the q-functional analogues of Hori's formulation of Wick's theorems for the different ordered q-particle creation and annihilation operators. The formulae have the same formal expressions as fermionic and bosonic ones but differ by a nature of fields. This allows us to derive the perturbation series for the theory and develop analogues of standard quantum field theory constructions in q-functional form.
Publié le : 1997-04-25
Classification:  High Energy Physics - Theory,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Mathematics - Quantum Algebra,  Quantum Physics 
@article{9704181,
     author = {Ilinski, K. N. and Kalinin, G. V. and Stepanenko, A. S.},
     title = {q-Functional Wick's theorems for particles with exotic statistics},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9704181}
}

Ilinski, K. N.; Kalinin, G. V.; Stepanenko, A. S. q-Functional Wick's theorems for particles with exotic statistics. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9704181/