ON QUANTIZATION OF SYSTEMS WITH SECOND CLASS CONSTRAINTS

DOI10.1142/S0219887806001788zbMath1107.81034arXivquant-ph/0507038MaRDI QIDQ3422203

L. V. Prokhorov, A. G. Nuramatov

Publication date: 9 February 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0507038

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Constrained dynamics, Dirac's theory of constraints (70H45) Geometric quantization (53D50)

Related Items

Geometric momentum for a particle constrained on a curved hypersurface, Canonical quantization of motion on submanifolds

Cites Work

• Coordinate-free quantization of second-class constraints
• Proper Dirac quantization of a free particle on a \(D\)-dimensional sphere.
• Foundations of Quantum Mechanics
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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