@article{AIHPA_1988__49_3_315_0,
author = {Guerra, Francesco},
title = {Stochastic variational principles and quantum mechanics},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {49},
year = {1988},
pages = {315-324},
mrnumber = {988431},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1988__49_3_315_0}
}
Guerra, Francesco. Stochastic variational principles and quantum mechanics. Annales de l'I.H.P. Physique théorique, Tome 49 (1988) pp. 315-324. http://gdmltest.u-ga.fr/item/AIHPA_1988__49_3_315_0/
[1] , The Variational Principles of Mechanics, Toronto, 1962. | MR 166957 | Zbl 0138.19705
[2] and , Phys. Rev., t. D 27, 1983, p. 1774. | MR 698913
[3] and , Phys. Rev., t. D 31, 1985, p. 2531. | MR 790461
[4] , and , Stochastic Mechanics on Curved Manifolds. The problem of the Stochastic Action, in Creativity and Inspiration: Perspectives of Scientific Collaboration between Italy and Japan. G. Cavallo, S. Fukui, H. Matsumara and T. Toyoda, Editors, Nagoya University Press, Nagoya (1988).
[5] , Quantum Fluctuations, Princeton University Press, Princeton, N. J. (1985). | MR 783254 | Zbl 0563.60001
[6] , Phys. Rep., t. 77, 1981, p. 121. | MR 639032
[7] , and , Mathematical and Physical Aspects of Stochastic Mechanics. Lecture Notes in Physics, t. 281, Springer Verlag, Berlin (1987). | MR 903845 | Zbl 0628.60104
[8] , and , Phys. Rev., t. D 34, 1986, p. 3732. | MR 869373
[9] , J. Funct. Anal., t. 41, 1981, p. 327. | MR 619956 | Zbl 0482.60063
[10] , Inter. J. Theor. Phys., t. 24, 1985, p. 277. | Zbl 0563.60098
[11] , Phys. Rev., t. D 31, 1985, p. 1982 and « Path-wise Calculus of Variations in Stochastic Mechanics », in: Stochastic Processes in Classical and Quantum Systems. S. Albeverio, G. Casati and D. Merlini, Eds. Lecture Notes in Physics, t. 262, Springer Verlag, Berlin, 1986. | MR 787763 | Zbl 0605.60097
[12] and , Lagrangian Variational Principle in Stochastic Mechanics: Gauge structure and Stability. Journal of Math. Phys., in press. | Zbl 0694.70003
[13] and , Phys. Rev., t. B 35, 1987, p. 1742.
[14] and , Phys. Rev., t. 96, 1954, p. 208. | MR 66955 | Zbl 0058.22905
[15] , Phys. Rev., t. 150, 1966, p. 1079.
[16] , Zeits. f. Physik., t. 40, 1926, p. 322. | JFM 52.0969.06
[17] , The Lagrangian Approach to Stochastic Variational Principles, Preprint, University of Rome (1988), in preparation.
[18] , Phys. Rev., t. D36, 1987, p. 1724. | MR 909678
[19] , J. Math. Phys., t. 23, 1982, p. 1020. | MR 660002 | Zbl 0498.70027