Landau operator on the quaternionic field
Mathematical Physics
2010-04-30 v1 math.MP
Abstract
The Landau operator on the quaternionic field is defined as the partial Fourier transform of the sub-Laplacian on the quaternionic Heisenberg group. This operator is viewed as the Hamiltonian of two harmonic oscillators on the two dimensional complex space with a uniform magnetic field.
Cite
@article{arxiv.1004.5223,
title = {Landau operator on the quaternionic field},
author = {Azzouz Zinoun and Dominique Kazmierowski and Ahmed Intissar},
journal= {arXiv preprint arXiv:1004.5223},
year = {2010}
}
Comments
23 pages