Symplectic cuts and projection quantization for non-holonomic constraints

Martin Bojowald, Thomas Strobl

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)713-725
Number of pages13
JournalInternational Journal of Modern Physics D
Volume12
Issue number4
DOIs
StatePublished - Apr 1 2003

Fingerprint

Nonholonomic Constraints
Quantization
projection
Projection
Geometric Quantization
General Relativity
Phase Space
relativity
method
cutting (process)
Class
Context
Text

All Science Journal Classification (ASJC) codes

  • Space and Planetary Science
  • Mathematical Physics
  • Astronomy and Astrophysics

Cite this

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Symplectic cuts and projection quantization for non-holonomic constraints. / Bojowald, Martin; Strobl, Thomas.

In: International Journal of Modern Physics D, Vol. 12, No. 4, 01.04.2003, p. 713-725.

Research output: Contribution to journalArticle

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