Symplectic Radon Transform and the Metaplectic Representation
Quantum Physics
2022-06-08 v1 Mathematical Physics
Functional Analysis
math.MP
Representation Theory
Abstract
We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian. We give rigorous proofs in the general setting of multi-dimensional quantum systems. We interpret the inverse Radon transform as a "demarginalization process" for the Wigner distribution. This work completes, by giving complete proofs, a previous Note.
Cite
@article{arxiv.2204.07106,
title = {Symplectic Radon Transform and the Metaplectic Representation},
author = {Maurice A. de Gosson},
journal= {arXiv preprint arXiv:2204.07106},
year = {2022}
}
Comments
Completes a previous Note in arXiv by giving complete and detailed proofs