Reduced phase space quantization and Dirac observables
نویسندگان
چکیده
منابع مشابه
Reduced Phase Space Quantization and Dirac Observables
In her recent work, Dittrich generalized Rovelli’s idea of partial observables to construct Dirac observables for constrained systems to the general case of an arbitrary first class constraint algebra with structure functions rather than structure constants. Here we use this framework and propose how to implement explicitly a reduced phase space quantization of a given system, at least in princ...
متن کاملDirac versus Reduced Phase Space Quantization 1
The relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of Hamiltonian systems having no gauge conditions. It is traced out that the two quantization methods may give similar, or essentially di erent physical results, and, moreover, it is shown that there is a class of constrained systems, which can be quantized only by the...
متن کاملDirac versus Reduced Phase Space Quantization
The relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of Hamiltonian systems having no gauge conditions. It is traced out that the two quantization methods may give similar, or essentially different physical results, and, moreover, it is shown that there is a class of constrained systems, which can be quantized only by th...
متن کاملDirac versus reduced quantization and operator ordering
We show an equivalence between Dirac quantization and the reduced phase space quantization. The equivalence of the both quantization methods determines the operator ordering of the Hamiltonian. Some examples of the operator ordering are shown in simple models.
متن کامل0 Geometry of the Dirac and Reduced Phase Space Quantization of Systems Subject to First Class Constraints
Geometric properties of operators of quantum Dirac constraints and physical observables are studied in semiclassical theory of generic constrained systems. The invariance transformations of the classical theory – contact canonical transformations and arbitrary changes of constraint basis – are promoted to the quantum domain as unitary equivalence transformations. Geometry of the quantum reducti...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2006
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/23/4/006