Universal Procedure for Enforcing Quantum Constraints
摘要
An abstract formulation of quantum dynamics in the presence of a general set of quantum constraints is developed. Our constructive procedure is such that the relevant projection operator onto the physical Hilbert space is obtained with a single, common integration procedure over the original Lagrange multiplier variables that is completely independent of the general nature of the constraints. In the associated lattice-limit formulation it is demonstrated that expansion of the constraint operator contribution to second order in the lattice spacing is necessary while, as usual, only a first-order expansion is needed for the dynamical operator contribution. Among various possibilities, coherent state path integrals are used to illustrate a completely functional representation of the abstract quantization procedure.
引用
@article{arxiv.hep-th/9901010,
title = {Universal Procedure for Enforcing Quantum Constraints},
author = {John R. Klauder},
journal= {arXiv preprint arXiv:hep-th/9901010},
year = {2009}
}
备注
latex, 21 pages, no figures