Angular Momentum and Mutually Unbiased Bases
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The Lie algebra of the group SU(2) is constructed from two deformed oscillator algebras for which the deformation parameter is a root of unity. This leads to an unusual quantization scheme, the {J2,Ur} scheme, an alternative to the familiar {J2,Jz} quantization scheme corresponding to common eigenvectors of the Casimir operator J2 and the Cartan operator Jz. A connection is established between the eigenvectors of the complete set of commuting operators {J2,Ur} and mutually unbiased bases in spaces of constant angular momentum.
Cite
@article{arxiv.quant-ph/0510124,
title = {Angular Momentum and Mutually Unbiased Bases},
author = {M. R. Kibler},
journal= {arXiv preprint arXiv:quant-ph/0510124},
year = {2007}
}
Comments
To be published in International Journal of Modern Physics B