Dirac bracket and the Feynman path integral formalism for singular Lagrangians

Technical Report · Mon Dec 31 04:00:00 EST 1973

OSTI ID:4938651

Micu, M

Dirac's prescription for quantization when the canonical variables satisfy some constraints is modified in order to have only second class constraints. This is performed by adding new constraints (equal in number with the first class constraints) which represent, with respect to the invariance under the gauge transformation, a chosen gauge. Transition to quantum scheme can be performed by replacing Poisson brackets by Dirac brackets, without imposing conditions to the physical state vectors, because finally all constraints belong to the second class. The Feynman path integral formalism in phase space is also presented, for the case when both first and second class constraints are present. (auth)

• Research Organization: Institutul de Fizica Atomica, Bucharest (Romania)
• Sponsoring Organization: Sponsor not identified
• NSA Number: NSA-29-025912
• OSTI ID: 4938651
• Report Number(s): IFA-FT--103-1973
• Country of Publication: Romania
• Language: English

Related Subjects

BOUNDARY CONDITIONS
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
INTEGRALS
LAGRANGIAN FIELD THEORY
N76100 --Physics (Theoretical)--General
N76200* --Physics (Theoretical)--Quantum Field Theories
SINGULARITY
VECTORS