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Group Theoretical Methods in Physics pp 365–372Cite as

Geometro-stochastic quantization and quantum geometry

  • IV. Quantum Physics
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Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

Abstract

The concepts of first and second quantized bundle, as well as of propagator for parallel transport in such bundles, are briefly reviewed. It is shown that such propagation between points in the base manifold of these bundles can be described by path integrals resulting from the parallel transport of quantum frames along the stochastic paths connecting those points. The Itô-Dynkin concept of stochastic parallel transport is used to formulate solutions of Klein-Gordon equations within quantum bundles.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, MSS IAJ, Toronto, Canada

    Eduard Prugovaki

Authors
  1. Eduard Prugovaki
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Editor information

Victor V. Dodonov Vladimir I. Man'ko

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© 1991 Springer-Verlag

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Prugovaki, E. (1991). Geometro-stochastic quantization and quantum geometry. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_131

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  • DOI: https://doi.org/10.1007/3-540-54040-7_131

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54040-3

  • Online ISBN: 978-3-540-47363-3

  • eBook Packages: Springer Book Archive

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