Gaussian solutions to the lagrangian variational problem in stochastic mechanics

Laura M. Morato; Stefania Ugolini

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 60, Issue: 3, page 323-337
  • ISSN: 0246-0211

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Morato, Laura M., and Ugolini, Stefania. "Gaussian solutions to the lagrangian variational problem in stochastic mechanics." Annales de l'I.H.P. Physique théorique 60.3 (1994): 323-337. <http://eudml.org/doc/76638>.

@article{Morato1994,
author = {Morato, Laura M., Ugolini, Stefania},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {time behaviour of Gaussian solutions; dynamical equations; Lagrangian variational principle in stochastic mechanics; Schrödinger equation},
language = {eng},
number = {3},
pages = {323-337},
publisher = {Gauthier-Villars},
title = {Gaussian solutions to the lagrangian variational problem in stochastic mechanics},
url = {http://eudml.org/doc/76638},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Morato, Laura M.
AU - Ugolini, Stefania
TI - Gaussian solutions to the lagrangian variational problem in stochastic mechanics
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 60
IS - 3
SP - 323
EP - 337
LA - eng
KW - time behaviour of Gaussian solutions; dynamical equations; Lagrangian variational principle in stochastic mechanics; Schrödinger equation
UR - http://eudml.org/doc/76638
ER -

References

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  1. [1] L.M. Morato, Path-Wise Stochastic Calculus of Variations with the Classical Action and Quantum Systems, Phys. Rev. D., Vol. 31, 1985, pp. 1982-1987. MR787763
  2. [2] M.I. Loffredo and L.M. Morato, Lagrangian Variational Principle in Stochastic Mechanics: Gauge Structure, J. Math. Phys., Vol. 30, 1989, pp. 354-360, M.I. Lof- Fredo (private note). Zbl0694.70003MR978549
  3. [3] F. Guerra, Private Note; E. Aldrovandi, D. Dohrn and F. Guerra, The Lagrangian Approach to Stochastic Variational Principles on Curved Manifolds, Acta Applicandae Math., Vol. 26, 1992, pp. 219-236. Zbl0756.60097MR1174565
  4. [4] F. Guerra, Stochastic Variational Principles and Quantum Mechanics, Ann. Inst. Henri Poincaré, Vol. 49, 1988, pp. 315-324. MR988431
  5. [5] F. Guerra and L.M. Morato, Quantization of Dynamical Systems and Stochastic Control Theory, Phys. Rev. D, Vol. 27, pp. 1774-1786. MR698913
  6. [6] E. Nelson, Quantum Fluctuations, Princeton Univ. Press, 1985. Zbl0563.60001MR783254
  7. [7] E. Nelson, Dynamical Theories of Brownian Motion, Princeton Univ. Press, 1967. Zbl0165.58502MR214150
  8. [8] V.I. Arnold, Equazioni Differenziali Ordinarie, Edizioni Mir, 1979. 
  9. [9] J. Guckenheimer and P. Holmes, Non linear Oscillations, Dynamical Systems, and Bifurcations of Vector Fiels, Applied Mathematical Science, Vol. 42, Springer-Verlag. Zbl0515.34001
  10. [10] L.M. Morato and S. Ugolini, in preparation. 

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