非完整约束系统的改进Hamilton-Jacobi量子化
Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System
摘要：
利用Hamilton Jacobi（HJ）量子化方法研究了具有第二类约束的非完整约束系统，得到了系统的完整运动方程。虽然HJ格式中的可积性条件与改进的Dirac量子化方法（DQM）中第一类约束系统的对合关系等价，但为了得到具有BRST不变的非完整约束系统的第一类哈密顿量和相应的有效拉格朗日量，还需要用改进的DQM方法对HJ格式进行细化.
英文摘要：
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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