Wiener and Feynman path integrals and their applications. (English) Zbl 0899.60058

Albeverio, Sergio

Mendrekar, V. (ed.) et al., Proceedings of the Norbert Wiener centenary congress, East Lansing, MI, USA, November 27–December 3, 1994. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 52, 163-194 (1997).

Summary: We illustrate the central role played by Wiener integrals in contemporary science. We also show how after Feynman’s introduction of his heuristc integrals as a basis of quantum theory, the influence of Wiener and Feynman path integrals became ever increasing. We give examples of cross fertilization of these approaches.
For the entire collection see [Zbl 0864.00070].

MSC:

60H30	Applications of stochastic analysis (to PDEs, etc.)
81S40	Path integrals in quantum mechanics
58D30	Applications of manifolds of mappings to the sciences

Keywords:

Wiener integrals; quantum theory; Wiener and Feynman path integrals