Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions
Mathematical Physics
2012-03-23 v1 math.MP
Abstract
Spin 1 particle is investigated in 3-dimensional curved space of constant positive curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional Duffin-Kemmer equation in quasi cylindrical coordinates. The problem is solved exactly in hypergeometric functions, the energy spectrum determined by three discrete quantum numbers is obtained. Transition to a massless case of electromagnetic field is performed.
Keywords
Cite
@article{arxiv.1203.5003,
title = {Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions},
author = {V. M. Red'kov and E. M. Ovsiyuk and V. V. Kisel},
journal= {arXiv preprint arXiv:1203.5003},
year = {2012}
}
Comments
21 pages