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Time and Geometric Quantization

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arxiv quant-ph/0308101 v1 pith:56H4PVNA submitted 2003-08-20 quant-ph hep-th

classification quant-phhep-th
keywords quantizationgeometrictimeachievedapproachbrieflyclassicalfreezing
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In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approach to classical mechanics. We then show that its quantization can be achieved by freezing to zero two Grassmannian partners of time. This method of quantization presents many similarities with the one known as Geometric Quantization.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reframing classical mechanics: An AKSZ sigma model perspective

    hep-th 2025-04 conditional novelty 6.0 of 10

    The Gozzi-Reuter-Thacker path integral for classical mechanics is recovered as a gauge-fixed one-dimensional AKSZ sigma model with target T*(T[1]M × R[1]).

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