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Geometric Aspects of the Quantization of a Rigid Body

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Differential Equations - Geometry, Symmetries and Integrability

Part of the book series: Abel Symposia ((ABEL,volume 5))

Abstract

In this paper we review our results on the quantization of a rigid body. The fact that the configuration space is not simply connected yields two inequivalent quantizations. One of the quantizations allows us to recover classically double-valued wave functions as single valued sections of a non-trivial complex line bundle. This reopens the problem of a physical interpretation of these wave functions.

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Author information

Authors and Affiliations

  1. Department of Mathematics “E. De Giorgi”, Universitàdel Salento, via per Arnesano, 73100, Lecce, Italy

    M. Modugno & R. Vitolo

  2. Departamento de Matemàticas, Universidad de Salamanca, Plaza de la Merced 1-4, Salamanca, Spain

    C. Tejero Prieto

Authors
  1. M. Modugno
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  2. C. Tejero Prieto
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  3. R. Vitolo
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Corresponding author

Correspondence to R. Vitolo .

Editor information

Editors and Affiliations

  1. Dept. Mathematics & Statistics, University of Tromsoe, Tromsoe, 9037, Norway

    Boris Kruglikov

  2. Dept. Mathematics & Statistics, University of Tromsoe, Tromsoe, 9037, Norway

    Valentin Lychagin

  3. of Science and Technology, Norwegian University, Trondheim, 7034, Norway

    Eldar Straume

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Modugno, M., Prieto, C.T., Vitolo, R. (2009). Geometric Aspects of the Quantization of a Rigid Body. In: Kruglikov, B., Lychagin, V., Straume, E. (eds) Differential Equations - Geometry, Symmetries and Integrability. Abel Symposia, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00873-3_13

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