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EFFECTIVE CONSTRAINTS FOR QUANTUM SYSTEMS

MARTIN BOJOWALD

Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

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,

BARBARA SANDHÖFER

Institute for Theoretical Physics, University of Cologne, Zülpicher Strasse 77, 50937 Cologne, Germany

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,

AURELIANO SKIRZEWSKI

Centro de Física Fundamental, Universidad de los Andes, Mérida 5101, Venezuela

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, and

ARTUR TSOBANJAN

Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

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https://doi.org/10.1142/S0129055X09003591Cited by:70 (Source: Crossref)

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 parametrized form illustrate how standard problems of constrained systems can be dealt with in this framework.

Keywords:

AMSC: 53D17, 81S10

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Vol. 21, No. 01

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History

Received 28 April 2008

Revised 7 November 2008

Keywords