GAUSSIAN SOLUTIONS TO THE LAGRANGIAN VARIATIONAL PROBLEM IN STOCHASTIC MECHANICS

Authors
MORATO LM UGOLINI S
Citation
Lm. Morato et S. Ugolini, GAUSSIAN SOLUTIONS TO THE LAGRANGIAN VARIATIONAL PROBLEM IN STOCHASTIC MECHANICS, Annales de l'I.H.P. Physique theorique, 60(3), 1994, pp. 323-337
Citations number
10
Categorie Soggetti
Physics
Journal title
Annales de l'I.H.P. Physique theorique → ACNP
ISSN journal
02460211
Volume
60
Issue
3
Year of publication
1994
Pages
323 - 337
Database
ISI
SICI code
0246-0211(1994)60:3<323:GSTTLV>2.0.ZU;2-Q
Abstract
We present a qualitative study of the time behaviour of Gaussian solut ions to the general dynamical equations arising from the Lagrangian va riational principle in Stochastic Mechanics. In particular we give som e results on the asymptotic stability of the solutions of the Schrodin ger equation with respect to dissipative perturbations. We also illust rate with the help of numerical calculations the ''increasing vorticit y phenomenon''.