On Quantal Poincaré-Cartan Integral Invariant
LI Rui-jie LI Zi-Ping (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China)
Based on the phase-space generating funtional of green function, the quantal Poincere- Cartan integrel invariant (QPCII) for a system with a regular and a singular Lagrangian are deduced respectively, the equivalence between the QPCII and quantum canonical equation is verified. For the case in which the Jacobian of the transformation does not equal 1, QPCII still can be derived, which is different from Noether theorem at the quantum level. The comparison of QPCII with the classical results is discussed. The result shows that their requirements and expressions are different.
【CateGory Index】： O412.3