Définition de l'intégrale de Feynman et processus à sauts
Combe, Ph. ; Rodriguez, R. ; Sirugue, M. ; Sirugue-Collin, M.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 30 (1982), p. 134-178 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1982-01-01
@article{RCP25_1982__30__134_0,
     author = {Combe, Ph. and Rodriguez, R. and Sirugue, M. and Sirugue-Collin, M.},
     title = {D\'efinition de l'int\'egrale de Feynman et processus \`a sauts},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {30},
     year = {1982},
     pages = {134-178},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1982__30__134_0}
}

Combe, Ph.; Rodriguez, R.; Sirugue, M.; Sirugue-Collin, M. Définition de l'intégrale de Feynman et processus à sauts. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 30 (1982) pp. 134-178. http://gdmltest.u-ga.fr/item/RCP25_1982__30__134_0/

[1] Feynman R.P. - Rev. Mod. Phys. 20, 367-387 (1948).

[2] Feynman R.P., Hibbs A.R. - Quantum Mechanics and Path Integrals Mc-Graw-Hill - New York (1965). | Zbl 0176.54902

[3] Cameron R.H. - J. Math, and Phys., 39, 126-140 (1960). | MR 127776 | Zbl 0096.06901

[4] Glimm J., Jaffe A. - Quantum Physics. A functional Integral Point of view - Springer Verlag (1981). | MR 628000 | Zbl 0461.46051

[5] Albeverio S., Hoegh-Krohn R. - Mathematical Theory of Feynman Path Integral - Lecture notes in Mathematics, vol. 535, Berlin-New York, Springer (1976). | MR 495901 | Zbl 1222.46001

[6] Albeverio S., Blanchard P., Hoegh-Krohn R. - Commun. Math. Phys. 83, 49-76 (1982). | MR 648358 | Zbl 0493.35039

[7] Maslov V.P., Chebotarev A.M. - Dok. Acad. Nauk, 229, 37-38 (1976) (en russe). | Zbl 0351.28008

[8] Maslov V.P., Chebotarev A.M. - Theor. and Math. Phys., 28, 793-805 (1977). | Zbl 0411.28018

[9] Maslov V.P., Chebotarev A.M. - Itogi Nauki i tekniki, 15, 5-78 (1978) (en russe). | Zbl 0516.28016

[10] Maslov V.P., Chebotarev A.M. - Processus de Sauts et leurs applications dans la mécanique quantique in Feynman Path Integral - Lectures notes in Physics n° 106, Springer Verlag (1979) p. 58-72. | MR 553076 | Zbl 0443.28010

[11] Maslov V.P. - Chaînes de Markov Complexes et Intégrales de Feynman-Nauka (1976) (en russe). | MR 479126

[12] Combe P., Hoegh-Krohn R., Rodriguez R., Sirugue M., Sirugue-Collin M. - Commun. Math. Phys., 77, 269-288 (1980). | MR 594304 | Zbl 0526.22003

[13] Combe P., Hoegh-Krohn R., Rodriguez R., Sirugue M., Sirugue-Collin M. - in Functional Integration and applications - Plemum Pub. (1981) - p. 53-64. | Zbl 0513.28004

[14] Combe P., Hoegh-Krohn R., Rodriguez R., Sirugue M., Sirugue-Collin M. - J.M.P. 23, 405-411 (1982). | MR 644571

[15] Combe P., Hoegh-Krohn R., Rodriguez R., Sirugue M., Sirugue-Collin M. - Zero-mass two dimensional real time sine Gordon model without U.V. cut-offs. - Prepint Bielefeld (1981).

[16] Albeverio S., Blanchard P., Combe P., Hoegh-Krohn R., Sirugue M. - Local relativistic invariant flows for quantum fields - Prepint Marseille (1981). | Zbl 0538.46053

[17] Ginibre J. - in Mécanique Statistique et Théorie des champs - Gordon and Breach (1971) p. 327-427.

[18] Nelson E. - J.M.P. 5 332-343 (1964). | MR 161189

[19] Weyl H. - Gruppentheorie and Quantum mechanik 2nd ed. Leipzig (1931). | JFM 54.0954.03 | Zbl 0001.17501

[20] Mackey G. - Duke Math. J. 16, 313-326 (1949). | MR 30532 | Zbl 0036.07703

[21] Combe P., Rodriguez R., Sirugue M., Sirugue-Coliin M. Commun. Math. Phys. 63, 219-235 (1978). | MR 513900

[22] Fadeev L. - in Méthodes en théorie des champs - North Holland Pub. (1976) p. 3-39.

[23] Fukushima M. - Osaka J. Math. 11, 73-85 (1974). | MR 353462 | Zbl 0366.60099

[24] Araki H. - J.M.P., 1, 492-504 (1960). | MR 127821

[25] Hoegh-Krohn R. - Commun. Math. Phys. 21, 244-255 (1971). | MR 292433

[26] Fröhlich J. - Commun. Math. Phys. 47, 233-268 (1976). | Zbl 1092.82505

[27] Gihman I. I., Skorohod A.V. - Stochastic Differential Equations Springer Verlag (1972). | MR 346904 | Zbl 0242.60003

[28] Gihman I. I., Skorohod A.V. - The Theory of Stochastic processes III - Springer Verlag (1979). | MR 651015 | Zbl 0404.60061