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Classical action, the wu-yang phase factor and prequantization

Part I Proceedings Of The International Colloquium Of The C.N.R.S. Held At Aix-en-Provence, September 3–7, 1979 Edited By J.M. Souriau

Part of the Lecture Notes in Mathematics book series (LNM,volume 836)

Abstract

For local variational systems (like a charged particle in the field of a Dirac monopole) a quantum mechanically well-defined action (Q.M.W.D.A.) can be introduced iff the system is prequantizable in the Kostant-Souriau sense. If the configuration space is multiply connected (as in the Bohm-Aharonov experiment), different expressions for the classical action may emerge; they are quantum mechanically equivalent (Q.M.E.) iff the corresponding prequantizations are equivalent. In both cases the situation depends on the behaviour of the non integrable phase factor of Wu and Yang.

Keywords

  • Classical Action
  • Configuration Space
  • Phase Factor
  • Homotopy Group
  • Connection Form

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

On leave from Veszprém University of Chemical Engineering Veszprém, (Hungary).

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Horváthy, P.A. (1980). Classical action, the wu-yang phase factor and prequantization. In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089727

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  • DOI: https://doi.org/10.1007/BFb0089727

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