Intermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum [su(2)] algebra
- 23 April 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 75 (4), 042111
- https://doi.org/10.1103/physreva.75.042111
Abstract
In this paper, we first discuss the general properties of an intermediate-statistics quantum bracket, , which corresponds to intermediate statistics in which the maximum occupation number of one quantum state is an arbitrary integer, . A further study of the operator realization of intermediate statistics is given. We construct the intermediate-statistics coherent state. An intermediate-statistics oscillator is constructed, which returns to bosonic and fermionic oscillators respectively when and . The energy spectrum of such an intermediate-statistics oscillator is calculated. Finally, we discuss the intermediate-statistics representation of angular momentum [su(2)] algebra. Moreover, a further study of the operator realization of intermediate statistics is given in the Appendix.
Keywords
This publication has 32 references indexed in Scilit:
- Nontrivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for AnyonsModern Physics Letters A, 1997
- R-Deformed Heisenberg Algebra, Anyons and D=2+1 SupersymmetryModern Physics Letters A, 1997
- Resistance fluctuations in narrow AlGaAs/GaAs heterostructures: Direct evidence of fractional charge in the fractional quantum hall effectPhysical Review Letters, 1989
- ON ANYON SUPERCONDUCTIVITYInternational Journal of Modern Physics B, 1989
- Superconducting Ground State of Noninteracting Particles Obeying Fractional StatisticsPhysical Review Letters, 1988
- Experimental determination of fractional chargee/qfor quasiparticle excitations in the fractional quantum Hall effectPhysical Review Letters, 1988
- Fractional Statistics and the Quantum Hall EffectPhysical Review Letters, 1984
- Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall StatesPhysical Review Letters, 1984
- Quantum Mechanics of Fractional-Spin ParticlesPhysical Review Letters, 1982
- Magnetic Flux, Angular Momentum, and StatisticsPhysical Review Letters, 1982