Dirac versus reduced quantization of the Poincaré symmetry in scalar electrodynamics

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Dirac versus reduced quantization of the Poincaré symmetry in scalar electrodynamics.

The generators of the Poincaré symmetry of scalar electrodynam-ics are quantized in the functional Schrödinger representation. We show that the factor ordering which corresponds to (minimal) Dirac quantization preserves the Poincaré algebra, but (minimal) reduced quantization does not. In the latter, there is a van Hove anomaly in the boost-boost commutator, which we evaluate explicitly to lowe...

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Dirac 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...

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Dirac 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.

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Dirac 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...

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Reduced Phase Space Quantization and Dirac Observables

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1995

ISSN: 0556-2821

DOI: 10.1103/physrevd.51.781