Version 1
: Received: 19 August 2016 / Approved: 20 August 2016 / Online: 20 August 2016 (10:55:58 CEST)
How to cite:
Andriambololona, R.; Ranaivoson, R. T. R.; Randriamisy, H. D. E.; Rakotoson, H. Dispersion Operators Algebra and Linear Canonical Transformations. Preprints2016, 2016080185. https://doi.org/10.20944/preprints201608.0185.v1
Andriambololona, R.; Ranaivoson, R. T. R.; Randriamisy, H. D. E.; Rakotoson, H. Dispersion Operators Algebra and Linear Canonical Transformations. Preprints 2016, 2016080185. https://doi.org/10.20944/preprints201608.0185.v1
Andriambololona, R.; Ranaivoson, R. T. R.; Randriamisy, H. D. E.; Rakotoson, H. Dispersion Operators Algebra and Linear Canonical Transformations. Preprints2016, 2016080185. https://doi.org/10.20944/preprints201608.0185.v1
APA Style
Andriambololona, R., Ranaivoson, R. T. R., Randriamisy, H. D. E., & Rakotoson, H. (2016). Dispersion Operators Algebra and Linear Canonical Transformations. Preprints. https://doi.org/10.20944/preprints201608.0185.v1
Chicago/Turabian Style
Andriambololona, R., Hasimbola Damo Emile Randriamisy and Hanitriarivo Rakotoson. 2016 "Dispersion Operators Algebra and Linear Canonical Transformations" Preprints. https://doi.org/10.20944/preprints201608.0185.v1
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.
Keywords
Dispersion operator; Lie algebra; Linear Canonical Transformation; Quantum theory; Phase space representation
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.