Classical and quantum aspects of tomography

Details Classical and quantum aspects of tomography Classical and quantum aspects of tomography

2010-01-28

arxiv.org/abs/1001.5169v1

AIP Conference Proceedings 1260 (2010) 3-34

Physics

Mathematical Physics

32 pages, 9 figures

Scientific paper

10.1063/1.3479322

We present here a set of lecture notes on tomography. The Radon transform and some of its generalizations are considered and their inversion formulae are proved. We will also look from a group-theoretc point of view at the more general problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Finally, the extension of the tomographic maps to the quantum case is considered, as a Weyl-Wigner quantization of the classical case.

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