TY - RPRT
TI - Quantization of constrained systems and path integral in curvilinear supercoordinates
AB - For 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.
AU - Shabanov, S V
KW - 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
KW - QUANTIZATION
KW - FEYNMAN PATH INTEGRAL
KW - CURVILINEAR COORDINATES
KW - DEGREES OF FREEDOM
KW - EUCLIDEAN SPACE
KW - GAUGE INVARIANCE
KW - KERNELS
KW - PHASE SPACE
KW - POLYNOMIALS
KW - SUPERSYMMETRY
KW - 661100
KW - CLASSICAL AND QUANTUM MECHANICS
DO -
UR -
PB -
CY - USSR
PY - 1990
DA - 1991-12-31
LA - English
J2 -
C1 - Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
C2 -
ER -