Fractional Angular Momentum in Noncommutative Space
Abstract
In noncommutative space to maintain Bose-Einstein statistics for identical particles at the non-perturbation level described by deformed annihilation-creation operators when the state vector space of identical bosons is constructed by generalizing one-particle quantum mechanics it is explored that the consistent ansatz of commutation relations of phase space variables should simultaneously include space-space noncommutativity and momentum-momentum noncommutativity, and a new type of boson commutation relations at the deformed level is obtained. Consistent perturbation expansions of deformed annihilation-creation operators are obtained. The influence of the new boson commutation relations on dynamics is discussed. The non-perturbation and perturbation property of the orbital angular momentum of two-dimensional system are investigated. Its spectrum possesses fractional eigen values and fractional intervals.
Cite
@article{arxiv.hep-th/0405135,
title = {Fractional Angular Momentum in Noncommutative Space},
author = {Jian-zu Zhang},
journal= {arXiv preprint arXiv:hep-th/0405135},
year = {2009}
}
Comments
10 pages