Star-product Description of Quantization in Second-class Constraint Systems

2011/08/20 by M. Nakamura, Nakamura, M.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1108.4108

openalex publication_date 2011/08/20 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

The quantization of the second-class constraint systems is discussed within the projection operator method(POM) of constraint systems. Through the nonlocal representation of the constraint hyper-operators, new star-products are defined. Then, the projected operator-algebra of the quantized constraint systems is constructed 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.

Related

• Quantization of Constrained Systems
• Exploring the second class constraint quantization approach proposed by Batalin and Marnelius
• Path Integrals, and Classical and Quantum Constraints
• Uncertainty Relations and Quantum Corrections in Noncommutative Quantum Mechanics on a Curved Space
• New Measures for the Quantization of Systems with Constraints