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luxxio
Oct15-09, 11:03 AM
i am searching for a detailed discussion on the relativistic poisson brackets. where i can found it?

Demystifier
Oct16-09, 05:38 AM
See about Pierls bracket. For example, see the book on QFT by DeWitt.

crackjack
Oct20-09, 08:04 PM
Why should the Poisson bracket be different for relativistic and non-relativistic fields/particles?

Demystifier
Oct21-09, 05:30 AM
Why should the Poisson bracket be different for relativistic and non-relativistic fields/particles?
Poisson brackets require a choice of a special time coordinate, so they are not relativistic covariant.

Thomas Larsson
Oct21-09, 12:48 PM
A Yahoo search for "relativistic Poisson bracket" (it may be picky with correct spelling) yields a single hit: http://landau.rice.edu/~aac/pubs/Phys-Plasmas.pdf

However, a better search phrase is "covariant phase space" which yields ca 142,000 hits on Google. Even better, searching for "covariant phase space"+Larsson yields six hits on Yahoo, all apparently written by a younger myself.