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Determinism, Holism, and Complexity pp 27–39Cite as

A Geometric Optics Experiment to Simulate the Betatronic Motion

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Abstract

We consider the analogy between geometric optics and mechanics to simulate the betatronic motion in a particle accelerator by using an optic experiment. Some experimental results are discussed and the main difficulties to improve the actual performances are briefly presented. We also introduce a representation of a ray trajectory by means of the quaternion numbers that can be used to study the geometrical properties.

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Reference

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Author information

Authors and Affiliations

  1. Dipartimento di Fisica, INFN e CIG dell’Università di Bologna, Via Irnerio 46, 40126, Bologna, Italy

    Armando Bazzani

  2. Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell’Aquila and Domus Galilaeiana, Pisa, Italy

    Paolo Freguglia

  3. Dipartimento di Fisica, Università di Pisa, INFM e CISSC dell’Università di Pisa, Pisa, Italy

    Leone Fronzoni

  4. Dipartimento di Fisica, INFN e CIG dell’Università di Bologna, Via Irnerio 46, 40126, Bologna, Italy

    Giorgio Turchetti

Authors
  1. Armando Bazzani
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  2. Paolo Freguglia
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  3. Leone Fronzoni
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  4. Giorgio Turchetti
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica Applicata “U. Dini”, Università di Pisa, Pisa, Italy

    Vieri Benci

  2. University of Pisa, Pisa, Italy

    Paola Cerrai

  3. University of L’Aquila, L’Aquila, Italy

    Paolo Freguglia

  4. University of Rome “La Sapienza”, Rome, Italy

    Giorgio Israel

  5. Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California, USA

    Claudio Pellegrini

  6. Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell’Aquila and Domus Galilaeana, Pisa, Italy

    Paolo Freguglia

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© 2003 Springer Science+Business Media New York

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Bazzani, A., Freguglia, P., Fronzoni, L., Turchetti, G. (2003). A Geometric Optics Experiment to Simulate the Betatronic Motion. In: Benci, V., Cerrai, P., Freguglia, P., Israel, G., Pellegrini, C. (eds) Determinism, Holism, and Complexity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4947-2_2

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  • DOI: https://doi.org/10.1007/978-1-4757-4947-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3394-2

  • Online ISBN: 978-1-4757-4947-2

  • eBook Packages: Springer Book Archive

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