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The Advanced Study Institute on "Path Integrals and Their
Applications in Quantum, Statistical, and Solid State Physics" was
held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977.
The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C.
(Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium),
Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium),
Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M.
(Belgium), Kredietbank (Belgium), National Science Foundation
(U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici-
pants attended the Institute. The development of path (or
functional) integrals in relation to problems of stochastic nature
dates back to the early 20's. At that time, Wiener succeeded in
obtaining the fundamental solution of the diffusion e~uation using
Einstein's joint probability of finding a Brownian particle in a
succession of space intervals during a corresponding succession of
time intervals. Dirac in the early 30's sowed the seeds of the path
integral formulation of ~uantum mecha- nics. However, the major and
decisive step in this direction was taken with Feynman's works in
~uantum and statistical physics, and quantum electrodynamicso The
applications now extend to areas such as continuous mechanics, and
recently functional integration methods have been employed by
Edwards for the study of polymerized matter.
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