Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System

Details Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System

2001-09-06

arxiv.org/abs/quant-ph/0109032v1

Physics

Quantum Physics

13 pages, no figures

Scientific paper

The nonholonomic constrained system with second-class constraints is investigated using the Hamilton-Jacobi (HJ) quantization scheme to yield the complete equations of motion of the system. Although the integrability conditions in the HJ scheme are equivalent to the involutive relations for the first-class constrained system in the improved Dirac quantization method (DQM), one should elaborate the HJ scheme by using the improved DQM in order to obtain the first-class Hamiltonian and the corresponding effective Lagrangian having the BRST invariant nonholonomic constrained system.

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