Effective constraints for quantum systems

Martin Bojowald, Barbara SandhÖfer, Aureliano Skirzewski, Artur Tsobanjan

Research output: Contribution to journalArticle

64 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)111-154
Number of pages44
JournalReviews in Mathematical Physics
Volume21
Issue number1
DOIs
StatePublished - Feb 1 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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