%AShabanov, S V
%D1990
%I; Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
%J
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, QUANTIZATION, FEYNMAN PATH INTEGRAL, CURVILINEAR COORDINATES, DEGREES OF FREEDOM, EUCLIDEAN SPACE, GAUGE INVARIANCE, KERNELS, PHASE SPACE, POLYNOMIALS, SUPERSYMMETRY, 661100, CLASSICAL AND QUANTUM MECHANICS
%PMedium: X; Size: 34 p.
%TQuantization of constrained systems and path integral in curvilinear supercoordinates
%XFor systems with constraints the question about a non-commutability of quantization and elimination of unphysical variables is studied in the framework of path integrals (PI). It is shown that one should take into consideration a curvilinear character of physical variables and their phase space reduction in order to provide a one-to-one correspondence between the Dirac scheme and PI description. The latter leads to a modification of the standard PI (PI with a gauge condition). A general recipe of a PI derivation is suggested for any method of picking out physical variables which corresponds to the Dirac scheme.
%0Technical Report
USSR Other: ON: DE92609054; TRN: SU9107762081553 INIS English