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Effective Constraints for Quantum Systems
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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.
Forward citations
Cited by 3 Pith papers
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Frame-Dependent Traces and the Third-Particle Paradox
The Third-Particle Paradox is not a contradiction: the authors characterize exactly which states allow consistent subsystem discarding in the perspective-neutral and quantum-information approaches.
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On the relation between perspective-neutral, algebraic, and effective quantum reference frames
For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.
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What can we do in a symmetry-constrained perspective? The importance of the total charge's status in quantum reference frame frameworks
A two-observer Z2 toy model is used to argue that internal observers can access the total charge, favoring weak over strong symmetry in quantum reference frame frameworks.
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