The Quantum Commutator of a Perfect Fluid

Details The Quantum Commutator of a Perfect Fluid The Quantum Commutator of a Perfect Fluid

1998-10-30

arxiv.org/abs/gr-qc/9810089v1

Math.Phys.Anal.Geom.1:367-373,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

A perfect fluid is quantized by the canonical method. The constraints are found and this allows the Dirac brackets to be calculated. Replacing the Dirac brackets with quantum commutators formally quantizes the system. There is a momentum operator in the denominator of some coordinate quantum commutators. It is shown that it is possible to multiply throughout by this momentum operator. Factor ordering differences can result in a viscosity term. The resulting quantum commutator algebra is \vspace{1.0truein} \bc$v_{4}(v_{3}v_{2}-v_{2}v_{3})=-i,$\ec \bc$v_{4}(v_{1}v_{3}-v_{3}v_{1})=-iv_{3},$\ec \bc$v_{4}v_{1}-v_{1}v_{4}=-i,$\ec \bc$v_{5}v_{2}-v_{2}v_{5}=-i$.\ec

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