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White Noise Analysis and the Feynman Integral

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Abstract

As one can see at this conference, and similarly as with some other concepts of theoretical physics, the Feynman integral is being used as an important tool of quantum dynamics at a time when its mathematical formalization is still being developed, — a novel and remarkable example of such development was presented by Mme Sirugue [1].

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References

  1. Ph. Combe, R. Høegh-Krohn, R. Rodriguez, M. Sirugue, M. Siru-gue-Collin: Poisson Processes on Groups and Feynman Path Integrals. Marseille preprint, Sept. 1979, and these Proceedings.

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  2. T. Hida, L. Streit: Generalized Brownian Functionals and Feynman Integrals. To appear.

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  3. T. Hida: Analysis of Brownian Functionals. Carleton Mathematical Lecture Notes, No. 13. 2nd ed., 1978.

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  4. T. Hida: Causal Analysis in Terms of White Noise. In “Quantum Fields-Algebras, Processes”, ed. by L. Streit, Springer, Vienna, 1980.

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  5. S. Albeverio, R. Hoegh-Krohn: Mathematical Theory of Feynman Path Integrals. Lecture Notes in Mathematics 523, Springer, Berlin, 1976.

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© 1980 Plenum Press, New York

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Streit, L. (1980). White Noise Analysis and the Feynman Integral. In: Antoine, JP., Tirapegui, E. (eds) Functional Integration. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7035-6_3

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  • DOI: https://doi.org/10.1007/978-1-4615-7035-6_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7037-0

  • Online ISBN: 978-1-4615-7035-6

  • eBook Packages: Springer Book Archive

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