## 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.

## 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}

}

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}

}