Classical and quantum aspects of tomography

被引：15

作者：

Facchi, Paolo ^{[1
]}

Ligabo, Marilena ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS | 2010年 / 1260卷

关键词：

Radon transform; integral geometry; PROBABILITY-DISTRIBUTION; WIGNER FUNCTION;

D O I：

10.1063/1.3479322

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页码：3 / 34

页数：32

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