A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
Mathematical Physics
2011-02-23 v1 math.MP
Abstract
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space. We study the properties of the star-product thus defined, and prove a spectral theorem for the star-genvalue equation using an extension of the methods recently initiated by de Gosson and Luef.
Cite
@article{arxiv.0911.1209,
title = {A Deformation Quantization Theory for Non-Commutative Quantum Mechanics},
author = {N. C. Dias and M. A. de Gosson and F. Luef and J. N. Prata},
journal= {arXiv preprint arXiv:0911.1209},
year = {2011}
}
Comments
Submitted for publication