Stochastic variational principles and quantum mechanics

Francesco Guerra

Annales de l'I.H.P. Physique théorique (1988)

  • Volume: 49, Issue: 3, page 315-324
  • ISSN: 0246-0211

How to cite

top

Guerra, Francesco. "Stochastic variational principles and quantum mechanics." Annales de l'I.H.P. Physique théorique 49.3 (1988): 315-324. <http://eudml.org/doc/76421>.

@article{Guerra1988,
author = {Guerra, Francesco},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {3},
pages = {315-324},
publisher = {Gauthier-Villars},
title = {Stochastic variational principles and quantum mechanics},
url = {http://eudml.org/doc/76421},
volume = {49},
year = {1988},
}

TY - JOUR
AU - Guerra, Francesco
TI - Stochastic variational principles and quantum mechanics
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 49
IS - 3
SP - 315
EP - 324
LA - eng
UR - http://eudml.org/doc/76421
ER -

References

top
  1. [1] C. Lanczos, The Variational Principles of Mechanics, Toronto, 1962. Zbl0138.19705MR166957
  2. [2] F. Guerra and L.M. Morato, Phys. Rev., t. D 27, 1983, p. 1774. MR698913
  3. [3] D. Dohrn and F. Guerra, Phys. Rev., t. D 31, 1985, p. 2531. MR790461
  4. [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. [5] E. Nelson, Quantum Fluctuations, Princeton University Press, Princeton, N. J. (1985). Zbl0563.60001MR783254
  6. [6] F. Guerra, Phys. Rep., t. 77, 1981, p. 121. MR639032
  7. [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). Zbl0628.60104MR903845
  8. [8] Ph. Blanchard, S. Golin and M. Serva, Phys. Rev., t. D 34, 1986, p. 3732. MR869373
  9. [9] K. Yasue, J. Funct. Anal., t. 41, 1981, p. 327. Zbl0482.60063MR619956
  10. [10] J.C. Zambrini, Inter. J. Theor. Phys., t. 24, 1985, p. 277. Zbl0563.60098
  11. [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. Zbl0605.60097MR787763
  12. [12] M.I. Loffredo and L.M. Morato, Lagrangian Variational Principle in Stochastic Mechanics: Gauge structure and Stability. Journal of Math. Phys., in press. Zbl0694.70003
  13. [13] M.I. Loffredo and L.M. Morato, Phys. Rev., t. B 35, 1987, p. 1742. 
  14. [14] D. Bohm and J.-P. Vigier, Phys. Rev., t. 96, 1954, p. 208. Zbl0058.22905MR66955
  15. [15] E. Nelson, Phys. Rev., t. 150, 1966, p. 1079. 
  16. [16] E. Madelung, Zeits. f. Physik., t. 40, 1926, p. 322. JFM52.0969.06
  17. [17] F. Guerra, The Lagrangian Approach to Stochastic Variational Principles, Preprint, University of Rome (1988), in preparation. 
  18. [18] R. Marra, Phys. Rev., t. D36, 1987, p. 1724. MR909678
  19. [19] L.M. Morato, J. Math. Phys., t. 23, 1982, p. 1020. Zbl0498.70027MR660002

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.