EFFECTIVE CONSTRAINTS FOR QUANTUM SYSTEMS

被引：69

作者：

Bojowald, Martin ^{[1
]}

Sandhoefer, Barbara ^{[2
]}

Skirzewski, Aureliano ^{[3
]}

Tsobanjan, Artur ^{[1
]}

机构：

[1] Penn State Univ, Inst Gravitat & Cosmos, University Pk, PA 16802 USA

[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

[3] Univ Los Andes, Ctr Fis Fundamental, Merida 5101, Venezuela

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2009年 / 21卷 / 01期

基金：

美国国家科学基金会;

关键词：

Constrained systems; physical Hilbert space; effective equations; COMPLETE OBSERVABLES; MECHANICS; GRAVITY;

D O I：

10.1142/S0129055X09003591

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：111 / 154

页数：44

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