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Odd and even Poisson brackets in dynamical systems

โœ Scribed by B. A. Kupershmidt

Publisher
Springer
Year
1985
Tongue
English
Weight
291 KB
Volume
9
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

On supermanifolds, two kinds of Poisson brackets are known to exist: even and odd. We present a general theory of even and odd super-Hamiltonian structures and apply it to a supersymmetric dynamics of one-dimensional fluid to derive an unusual symmetry between bosons and fermions.

๐Ÿ“œ SIMILAR VOLUMES

Fluctuations and Odd-Even Effects in Sma
Fluctuations and Odd-Even Effects in Small Superfluid Systems
โœ R. Rossignoli; N. Canosa; P. Ring ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 330 KB

Fluctuations and odd-even effects in small superfluid systems at finite temperature are investigated by means of the static path plus RPA approximation. A general derivation of this method is presented, which allows a straightforward implementation in statistical ensembles with fixed number parity (