@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},
pages = {315--324},
year = {1988},
publisher = {Gauthier-Villars},
volume = {49},
number = {3},
mrnumber = {988431},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1988__49_3_315_0/}
}
TY - JOUR AU - Guerra, Francesco TI - Stochastic variational principles and quantum mechanics JO - Annales de l'I.H.P. Physique théorique PY - 1988 SP - 315 EP - 324 VL - 49 IS - 3 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1988__49_3_315_0/ LA - en ID - AIHPA_1988__49_3_315_0 ER -
Guerra, Francesco. Stochastic variational principles and quantum mechanics. Annales de l'I.H.P. Physique théorique, Tome 49 (1988) no. 3, pp. 315-324. https://www.numdam.org/item/AIHPA_1988__49_3_315_0/
[1] , The Variational Principles of Mechanics, Toronto, 1962. | Zbl | MR
[2] and , Phys. Rev., t. D 27, 1983, p. 1774. | MR
[3] and , Phys. Rev., t. D 31, 1985, p. 2531. | MR
[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). | Zbl | MR
[6] , Phys. Rep., t. 77, 1981, p. 121. | MR
[7] , and , Mathematical and Physical Aspects of Stochastic Mechanics. Lecture Notes in Physics, t. 281, Springer Verlag, Berlin (1987). | Zbl | MR
[8] , and , Phys. Rev., t. D 34, 1986, p. 3732. | MR
[9] , J. Funct. Anal., t. 41, 1981, p. 327. | Zbl | MR
[10] , Inter. J. Theor. Phys., t. 24, 1985, p. 277. | Zbl
[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. | Zbl | MR
[12] and , Lagrangian Variational Principle in Stochastic Mechanics: Gauge structure and Stability. Journal of Math. Phys., in press. | Zbl
[13] and , Phys. Rev., t. B 35, 1987, p. 1742.
[14] and , Phys. Rev., t. 96, 1954, p. 208. | Zbl | MR
[15] , Phys. Rev., t. 150, 1966, p. 1079.
[16] , Zeits. f. Physik., t. 40, 1926, p. 322. | JFM
[17] , The Lagrangian Approach to Stochastic Variational Principles, Preprint, University of Rome (1988), in preparation.
[18] , Phys. Rev., t. D36, 1987, p. 1724. | MR





