Certain technical subleties regarding the Feynman–Kac representation of the propagator for motion on compact spaces are discussed. A method of evaluation of the corresponding path integral is given. It produces the correct spectrum for the Hamiltonian, while the ordinary semiclassical method fails.

1.
A. Patrascioiu and M. Viviniscu “The path integral for motions on compact spaces,” preprint FT‐235‐89, Bucharest.
2.
S. F.
Edwards
 and
Y. V.
Guliaev
,
Proc. R. Soc. London Ser. A
279
,
229
(
1964
).
Google Scholar
 
3.
B. B.
DeWitt
,
Rev. Mod. Phys.
29
,
377
(
1957
).
Google Scholar
Crossref
Search ADS
 
4.
M. S.
Marinov
,
Phys. Rep.
60
,
1
(
1980
).
Google Scholar
Crossref
Search ADS
 
This content is only available via PDF.
© 1985 American Institute of Physics.
1985
American Institute of Physics
You do not currently have access to this content.