Nonstandard analysis applied to path integrals and generalized functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1982 English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento B Series 11, volume 70, pages 277-290 (eissn: 1826-9877,

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Authors: S. M. Moore;

doi: 10.1007/bf02721082

Nonstandard analysis applied to path integrals and generalized functions

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Abstract

A rigorous definition is given to the path integral over fields as a nonstandard object and by using stochastic fields. Nonstandard generalized functions are defined and these are identified with the moments of the field. The relation between generalized stochastic processes and nonstandard stochastic fields is also studied and a stochastic differential equation for the field is developed.

Related Organizations

Universidad de San Buenaventura, Bogota
Colombia
Universidad de Los Andes
Colombia

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