Effective Constraints for Quantum Systems

Details Effective Constraints for Quantum Systems Effective Constraints for Quantum Systems

2008-04-21

arxiv.org/abs/0804.3365v1

Rev. Math. Phys. 21 (2009) 111-154

Physics

Mathematical Physics

40 pages

Scientific paper

10.1142/S0129055X09003591

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.

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