PREFACEQuantum mechanics is a probabilistic theory while the classical mechanics is a deterministic one. The connection between the two was eluding for a long time till Feynman blended them through his famous path integral representation of the kernel of the Schrodinger equation.Since then the path integral has come a long way and continues to inspire both physicists and mathematicians. For physicists, it is a very powerful tool, both at the conceptual as well as computational level.For mathematicians, on the other hand, it is a priori a meaningless object and continues to provide a challenge for developing an appropriate framework within which it can be defined, understood and manipulated.
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