Extending coherent state transforms to Clifford analysis
Mathematical Physics
2016-11-08 v3 math.MP
Abstract
We introduce two extensions of the Segal-Bargmann coherent state transform from to Hilbert spaces of slice monogenic and axial monogenic functions and study their properties. These two transforms are related by the dual Radon transform. Representation theoretic and quantum mechanical aspects of the new representations are studied.
Keywords
Cite
@article{arxiv.1601.01380,
title = {Extending coherent state transforms to Clifford analysis},
author = {William D. Kirwin and José Mourão and João P. Nunes and Tao Qian},
journal= {arXiv preprint arXiv:1601.01380},
year = {2016}
}