Effective Constraints for Quantum Systems
Mathematical Physics
2009-03-12 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
An effective formalism for quantum constrained systems is presented which allows manageable derivations of solutions and observables, including a treatment of physical reality conditions without requiring full knowledge of the physical inner product. Instead of a state equation from a constraint operator, an infinite system of constraint functions on the quantum phase space of expectation values and moments of states is used. The examples of linear constraints as well as the free non-relativistic particle in parameterized form illustrate how standard problems of constrained systems can be dealt with in this framework.
Cite
@article{arxiv.0804.3365,
title = {Effective Constraints for Quantum Systems},
author = {Martin Bojowald and Barbara Sandhoefer and Aureliano Skirzewski and Artur Tsobanjan},
journal= {arXiv preprint arXiv:0804.3365},
year = {2009}
}
Comments
40 pages