The Feynman path integral as an improper integral over the Sobolev space

Daisuke Fujiwara

Journées équations aux dérivées partielles (1990)

  • page 1-15
  • ISSN: 0752-0360

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Fujiwara, Daisuke. "The Feynman path integral as an improper integral over the Sobolev space." Journées équations aux dérivées partielles (1990): 1-15. <http://eudml.org/doc/93209>.

@article{Fujiwara1990,
author = {Fujiwara, Daisuke},
journal = {Journées équations aux dérivées partielles},
keywords = {Feynman path integral; limit; Schrödinger’s equation},
language = {eng},
pages = {1-15},
publisher = {Ecole polytechnique},
title = {The Feynman path integral as an improper integral over the Sobolev space},
url = {http://eudml.org/doc/93209},
year = {1990},
}

TY - JOUR
AU - Fujiwara, Daisuke
TI - The Feynman path integral as an improper integral over the Sobolev space
JO - Journées équations aux dérivées partielles
PY - 1990
PB - Ecole polytechnique
SP - 1
EP - 15
LA - eng
KW - Feynman path integral; limit; Schrödinger’s equation
UR - http://eudml.org/doc/93209
ER -

References

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  1. [1] Albeverio, S.-H. Krohn. R. j., Mathematical theory of Feynman path integral, Lecture notes of Math., 523, Springer, Berlin, (1976). Zbl0337.28009MR58 #14535
  2. [2] Feynman, R.P., Space time approach to non relativistic quantum mechanics, Rev. of Modern Phys. 20 (1948), 367-387. MR10,224b
  3. [3] Fujiwara, D., Remarks on convergence of some Feynman path integrals, Duke Math. J. 47 (1980) 559-600. Zbl0457.35026MR83c:81030
  4. [4] Itô, K., Generalized uniform complex measure in Hilbert space and its application to the Feynman path integrals, Proc. 5th Berkeley symposium on Math. Statistics and Probability, vol. 2, part 1, 145-161, Univ. California press, Berkeley. (1967). MR35 #7359
  5. [5] Pauli, W., (edited by Enz, C.P.,), Pauli Lectures on Physics, vol. 6 Selected topics in field quantization. MIT press (1973). 

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