HIDDEN SUPERSYMMETRY OF CLASSICAL-SYSTEMS (HYDRODYNAMICS AND CONSERVATION-LAWS)

Citation
Dv. Volkov et al., HIDDEN SUPERSYMMETRY OF CLASSICAL-SYSTEMS (HYDRODYNAMICS AND CONSERVATION-LAWS), Physics letters. A, 203(5-6), 1995, pp. 357-361
Citations number
16
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
203
Issue
5-6
Year of publication
1995
Pages
357 - 361
Database
ISI
SICI code
0375-9601(1995)203:5-6<357:HSOC(A>2.0.ZU;2-W
Abstract
Hidden supersymmetry is found for a wide class of classical dynamical systems and in particular for hydrodynamics. The dynamics of the co-di fferentials plays the role of odd variables. It is shown that the hydr odynamical invariants form the natural super Lie algebra with respect to the odd Buttin bracket and all integral invariants are Fourier tran sforms of super invariants.