Star-product Quantization in Second-class Constraint Systems

Details Star-product Quantization in Second-class Constraint Systems Star-product Quantization in Second-class Constraint Systems

2011-08-20

arxiv.org/abs/1108.4108v1

Physics

Mathematical Physics

12 pages

Scientific paper

The quantization of the second-class constraint systems is discussed within the projection operator method(POM) of constraint systems. Using the nonlocal representation of the projection hyper-operators, the new star products are proposed, which are composed of the constraint hyper-operators. Then, the projected operator-algebra of the quantized constraint systems is given with these star-products, and it is shown that the commutators and symmetrized products among the projected operators contain the quantum corrections due to the noncommutativity among operators in the product of the projected operators.

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