Effective Constraints for Quantum Systems
arXiv:0804.3365 · doi:10.1142/S0129055X09003591
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.
40 pages
References in corpus (8)
- Anomaly freedom in perturbative loop quantum gravity
- Loop quantum gravity corrections to gravitational wave dispersion
- Dynamical coherent states and physical solutions of quantum cosmological bounces
- Quantum nature of cosmological bounces
- Cosmological vector modes and quantum gravity effects
- Effective equations for isotropic quantum cosmology including matter
- Recollapsing quantum cosmologies and the question of entropy
- On the geometry of quantum constrained systems