Lagrangian dynamics for classical, Brownian, and quantum mechanical particles

Journal of Mathematical Physics

Volumn 37, Issue 7, 1996, Pages 3375-3388

  Pavon, Michele ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030539628     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531570     Document Type: Article

References (20)

1. M. Pavon, J. Math. Phys. 36, 6774 (1995).
2. E. Nelson, Quantum Fluctuations (Princeton University, Princeton, 1985).
3. K. Yasue, J. Functional Analysis 41, 327 (1981).
4. Ph. Blanchard, Ph. Combe, and W. Zheng, Mathematical and Physical Aspects of Stochastic Mechanics, Lecture Notes in Physics, Vol. 281 (Springer, New York, 1987).
5. H. Föllmer, in Stochastic Processes-Mathematics and Physics, Lecture Notes in Mathematics, Vol. 1158 (Springer, New York, 1986), p. 119.
6. M. Pavon, Phys. Lett. A 209, 143 (1995); Erratum 211, 383 (1996).
7. M. Pavon, Phys. Lett. A 209, 143 (1995); Erratum 211, 383 (1996).
8. E. Carlen, Commun. Math. Phys. 94, 293 (1984).
9. G. F. Dell'Antonio and A. Posilicano, Commun. Math. Phys. 141, 599 (1991).
10. R. Liptser and A. Shiryayev, Statistics of Random Processes I (Springer, New York, 1977).
11. F. Guerra and L. Morato, Phys. Rev. D 27, 1774 (1983).
12. W. Yourgrau and S. Mandelstam, Variational Principles in Dynamics and Quantum Theory (Pitman, London, 1960).
13. E. Nelson, Dynamical Theories of Brownian Motion (Princeton University, Princeton, 1967).
14. Y. A. Rozanov, Stationary Random Processes (Holden-Day, San Francisco, 1967).
15. G. Kallianpur, Stochastic Filtering Theory (Springer, New York, 1980).
16. F. Guerra, Phys. Rep. 77, 263 (1981).
17. M. Pavon, Appl. Math. Optim. 14, 265 (1986).
18. D. B. Hernandez and M. Pavon, Acta Appl. Math. 14, 239 (1989).
19. F. Guerra and L. Morato, in Stochastic Processes in Quantum Theory and Statistical Physics, edited by S. Albeverio and P. Combe, Lecture Notes in Physics, Vol. 173 (Springer, New York, 1982), p. 208.
20. D. Bohm and B. J. Hiley, Phys. Rep. 172, 93 (1989).