The Quantum Commutator Algebra of a Perfect Fluid
نویسنده
چکیده
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 v4(v3v2 − v2v3) = −i, v4(v1v3 − v3v1) = −iv3, v4v1 − v1v4 = −i, v5v2 − v2v5 = −i. Mathematical Review Classification Scheme: 81S05,81R10,82B26,83CC22, Physics and Astronomy Classification Scheme: 03.70+k,05.70-a,04.40+c. Keyword Index: Quantum Algebra, Perfect Fluid, Dirac Bracket, Canonical Quantization.
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