A Few Almost Trivial Notes on the Symplectic Radon Transform and the Tomographic Picture of Quantum Mechanics

2022/03/31 by Maurice A. de Gosson, de Gosson, Maurice
Computer Science · Earth and Planetary Sciences · Mathematics · #FOS: Physical sciences #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2203.17210

openalex publication_date 2022/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We emphasize in these pedagogical notes the that the theory of the Radon transform and its applications is best understood using the theory of the metaplectic group and the quadratic Fourier transforms generating metaplectic operator.. Doing this we hope that these notes will be useful to a larger audience, including researchers in time-frequency analysis.

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