An Introduction to Coordinate-free Quantization and its Application to Constrained Systems

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dc.creatorKlauder, John R.
dc.creatorShabanov, Sergei V.
dc.date1998-04-21
dc.date.accessioned2026-07-07T06:14:57Z
dc.date.available2026-07-07T06:14:57Z
dc.descriptionCanonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper we offer a brief and introductory overview of how a flat phase space metric can be incorporated into a covariant, coordinate-free quantization procedure involving a continuous-time (Wiener measure) regularization of traditional phase space path integrals. Additionally we show how such procedures can be extended to incorporate systems with constraints and illustrate that extension for special systems.
dc.description12 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9804049
dc.identifierhttp://arxiv.org/abs/quant-ph/9804049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93658
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAn Introduction to Coordinate-free Quantization and its Application to Constrained Systems
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