Stochastic variational principles and quantum mechanics
Annales de l'I.H.P. Physique théorique, Volume 49 (1988) no. 3, pp. 315-324.
@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},
     publisher = {Gauthier-Villars},
     volume = {49},
     number = {3},
     year = {1988},
     mrnumber = {988431},
     language = {en},
     url = {http://archive.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  - http://archive.numdam.org/item/AIHPA_1988__49_3_315_0/
LA  - en
ID  - AIHPA_1988__49_3_315_0
ER  - 
%0 Journal Article
%A Guerra, Francesco
%T Stochastic variational principles and quantum mechanics
%J Annales de l'I.H.P. Physique théorique
%D 1988
%P 315-324
%V 49
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1988__49_3_315_0/
%G en
%F AIHPA_1988__49_3_315_0
Guerra, Francesco. Stochastic variational principles and quantum mechanics. Annales de l'I.H.P. Physique théorique, Volume 49 (1988) no. 3, pp. 315-324. http://archive.numdam.org/item/AIHPA_1988__49_3_315_0/

[1] C. Lanczos, The Variational Principles of Mechanics, Toronto, 1962. | MR | Zbl

[2] F. Guerra and L.M. Morato, Phys. Rev., t. D 27, 1983, p. 1774. | MR

[3] D. Dohrn and F. Guerra, Phys. Rev., t. D 31, 1985, p. 2531. | MR

[4] E. Aldrovandi, D. Dohrn and F. Guerra, 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] E. Nelson, Quantum Fluctuations, Princeton University Press, Princeton, N. J. (1985). | MR | Zbl

[6] F. Guerra, Phys. Rep., t. 77, 1981, p. 121. | MR

[7] Ph. Blanchard, Ph. Combe and W. Zheng, Mathematical and Physical Aspects of Stochastic Mechanics. Lecture Notes in Physics, t. 281, Springer Verlag, Berlin (1987). | MR | Zbl

[8] Ph. Blanchard, S. Golin and M. Serva, Phys. Rev., t. D 34, 1986, p. 3732. | MR

[9] K. Yasue, J. Funct. Anal., t. 41, 1981, p. 327. | MR | Zbl

[10] J.C. Zambrini, Inter. J. Theor. Phys., t. 24, 1985, p. 277. | Zbl

[11] L.M. Morato, 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 | Zbl

[12] M.I. Loffredo and L.M. Morato, Lagrangian Variational Principle in Stochastic Mechanics: Gauge structure and Stability. Journal of Math. Phys., in press. | Zbl

[13] M.I. Loffredo and L.M. Morato, Phys. Rev., t. B 35, 1987, p. 1742.

[14] D. Bohm and J.-P. Vigier, Phys. Rev., t. 96, 1954, p. 208. | MR | Zbl

[15] E. Nelson, Phys. Rev., t. 150, 1966, p. 1079.

[16] E. Madelung, Zeits. f. Physik., t. 40, 1926, p. 322. | JFM

[17] F. Guerra, The Lagrangian Approach to Stochastic Variational Principles, Preprint, University of Rome (1988), in preparation.

[18] R. Marra, Phys. Rev., t. D36, 1987, p. 1724. | MR

[19] L.M. Morato, J. Math. Phys., t. 23, 1982, p. 1020. | MR | Zbl