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Prog. Theor. Phys. Vol. 80 No. 1 (1988) pp. 151-161
Privileged Role of the Mid-Point Prescription in Path Integrations for Constrained Systems
Hiroki Fukutaka and
Taro kashiwa
Department of Physics, Kyushu University 33, Fukuoka 812
(Received January 30, 1988)
Abstract:
Detailed discussions are made on the path integral formula of Faddeev
and Senjanovic for a D-dimensional sphere (SD) as an example of
constrained systems. We study the operator counterpart resulting from
the formula in a model-independent manner. Under these procedures, it
is found that only the mid-point (or Weyl) prescription is allowed to
give the correct completeness condition in terms of the spherical
harmonics. Thus, contrary to the ordinary situations one must use the
mid-point prescription in the path integral formula for constrained systems.
URL :
http://ptp.ipap.jp/link?PTP/80/151/
DOI : 10.1143/PTP.80.151
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 95 No. 2 (1996) pp. 421-431
:
-
A General Form of the Constraints in the Path Integral Formula
-
Taro Kashiwa
