Dispersion Operators Algebra and Linear Canonical Transformations
Quantum Physics
2018-06-22 v2
Abstract
This work intends to present a study on relations between a Lie algebra called dispersion operators algebra, linear canonical transformation and a phase space representation of quantum mechanics that we have introduced and studied in previous works. The paper begins with a brief recall of our previous works followed by the description of the dispersion operators algebra which is performed in the framework of the phase space representation. Then, linear canonical transformations are introduced and linked with this algebra. A multidimensional generalization of the obtained results is given
Cite
@article{arxiv.1608.02268,
title = {Dispersion Operators Algebra and Linear Canonical Transformations},
author = {Raoelina Andriambololona and Ravo Tokiniaina Ranaivoson and Randriamisy Hasimbola Damo Emile and Hanitriarivo Rakotoson},
journal= {arXiv preprint arXiv:1608.02268},
year = {2018}
}
Comments
13 pages