q-deformed paracommutation relations
- 7 October 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (19) , L1155-L1158
- https://doi.org/10.1088/0305-4470/25/19/004
Abstract
The representations of an algebra of q-deformed paracommutation relations are discussed. The Bose quantization is shown to be exceptional among all possible para-Bose quantizations. Also it is demonstrated that the Ignatiev and Kuzmin oscillator (1987) is a particular case of the q-deformed paraoscillator.Keywords
This publication has 13 references indexed in Scilit:
- On a general framework for q-particles, paraparticles and q-paraparticles through deformationsJournal of Physics A: General Physics, 1991
- Particles with small violations of Fermi or Bose statisticsPhysical Review D, 1991
- On quantization of simple harmonic oscillatorsJournal of Physics A: General Physics, 1991
- q-analogues of the parabose and parafermi oscillators and representations of quantum algebrasJournal of Physics A: General Physics, 1990
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)qJournal of Physics A: General Physics, 1989
- The quantum group SUq(2) and a q-analogue of the boson operatorsJournal of Physics A: General Physics, 1989
- Local Quantum Field Theory of Possible Violation of the Pauli PrinciplePhysical Review Letters, 1987
- QuantumR matrix for the generalized Toda systemCommunications in Mathematical Physics, 1986
- Aq-difference analogue of U(g) and the Yang-Baxter equationLetters in Mathematical Physics, 1985
- A Generalized Method of Field QuantizationPhysical Review B, 1953