Published July 2007
| Version v1
Journal article
Radon transform on the cylinder and tomography of a particle on the circle
Creators
- 1. Departamento de Fisica Teorica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza (Spain)
- 2. INFN, Sezione di Bari, I-70126 Bari (Italy)
- 3. Dipartimento di Matematica, Universita di Bari, I-70125 Bari (Italy)
- 4. P. N. Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991 (Russian Federation)
- 5. INFN, Sezione di Napoli, I-80126 Naples (Italy)
- 6. Dipartimento di Scienze Fisiche, Universita di Napoli 'Federico II', I-80126 Naples (Italy)
- 7. Dipartimento di Fisica, Universita di Bari, I-70126 Bari (Italy)
- 8. Department of Physics, University of Texas, Austin, Texas 78712 (United States)
Description
The tomographic probability distribution on the phase space (cylinder) related to a circle or an interval is introduced. The explicit relations of the tomographic probability densities and the probability densities on the phase space for the particle motion on a torus are obtained, and the relation of the suggested map to the Radon transform on the plane is elucidated. The generalization to the case of a multidimensional torus is elaborated, and the geometrical meaning of the tomographic probability densities as marginal distributions on the helix discussed
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.76.012117;
- arXiv
- arXiv:math-ph/0703081v1;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 76
- Journal Issue
- 1
- Journal Page Range
- p. 012117-012117.9
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39033453
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CYLINDERS; DENSITY; DISTRIBUTION; PARTICLES; PHASE SPACE; RADON; TOMOGRAPHY
- Descriptors DEC
- DIAGNOSTIC TECHNIQUES; ELEMENTS; FLUIDS; GASES; MATHEMATICAL SPACE; NONMETALS; PHYSICAL PROPERTIES; RARE GASES; SPACE
Optional Information
- Notes
- (c) 2007 The American Physical Society