Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics
High Energy Physics - Theory
2009-07-10 v1
Abstract
In two-dimensional noncommutive space for the case of both position - position and momentum - momentum noncommuting, the consistent deformed bosonic algebra at the non-perturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the deformed Heisenberg - Weyl algebra with the deformed bosonic algebra. A Fock space is found, in which all calculations can be similarly developed as if in commutative space and all effects of spatial noncommutativity are simply represented by parameters.
Cite
@article{arxiv.0907.1466,
title = {Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics},
author = {Jian-Zu Zhang},
journal= {arXiv preprint arXiv:0907.1466},
year = {2009}
}
Comments
14 pages