TY - JOUR
T1 - Effective constraints for quantum systems
AU - Bojowald, Martin
AU - SandhÖfer, Barbara
AU - Skirzewski, Aureliano
AU - Tsobanjan, Artur
N1 - Funding Information:
We thank Alejandro Corichi for discussions. B.S. thanks the Friedrich-Ebert-Stiftung for financial support. Work of M.B. was supported in part by NSF grant PHY0653127.
PY - 2009/2
Y1 - 2009/2
N2 - 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.
AB - 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.
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U2 - 10.1142/S0129055X09003591
DO - 10.1142/S0129055X09003591
M3 - Article
AN - SCOPUS:65349149924
SN - 0129-055X
VL - 21
SP - 111
EP - 154
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
IS - 1
ER -