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Quantization of constrained systems and path integral in curvilinear supercoordinates

Technical Report:

Abstract

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.
Authors:
Publication Date:
Dec 31, 1990
Product Type:
Technical Report
Report Number:
JINR-E-2-90-25
Reference Number:
SCA: 661100; PA: AIX-22:081553; SN: 91000608743
Resource Relation:
Other Information: DN: Submitted to J. Phys., A.; PBD: 1990
Subject:
71 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
OSTI ID:
10104717
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
USSR
Language:
English
Other Identifying Numbers:
Other: ON: DE92609054; TRN: SU9107762081553
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
34 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Shabanov, S V. Quantization of constrained systems and path integral in curvilinear supercoordinates. USSR: N. p., 1990. Web.
Shabanov, S V. Quantization of constrained systems and path integral in curvilinear supercoordinates. USSR.
Shabanov, S V. 1990. "Quantization of constrained systems and path integral in curvilinear supercoordinates." USSR.
@misc{etde_10104717,
title = {Quantization of constrained systems and path integral in curvilinear supercoordinates}
author = {Shabanov, S V}
abstractNote = {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.}
place = {USSR}
year = {1990}
month = {Dec}
}