SYMPLECTIC CUTS AND PROJECTION QUANTIZATION FOR NON-HOLONOMIC CONSTRAINTS-Reference-Cited by-同舟云学术

SYMPLECTIC CUTS AND PROJECTION QUANTIZATION FOR NON-HOLONOMIC CONSTRAINTS

Published:2003-04 Issue:04 Volume:12 Page:713-725
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

BOJOWALD MARTIN¹,STROBL THOMAS²

Affiliation:

1. Institut für Theoretische Physik, RWTH Aachen, D-52056 Aachen, Germany

2. Institut für Theoretische Physik, Universität Jena, D-07743 Jena, Germany

Abstract

Projection quantization, which is a method to quantize systems with non-holonomic constraints like the condition Det q > 0 in general relativity, is shown to coincide with a reduced phase space quantization in a class of cases which is specified in the main text. This is inferred in the context of geometric quantization using the symplectic cutting technique.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271803002810

Reference17 articles.

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