- #1

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It goes as follows: {f,{g,h}}+{g,{h,f}}+{h,{f,g}}=0

Thanks.

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- Thread starter M. next
- Start date

- #1

- 382

- 0

It goes as follows: {f,{g,h}}+{g,{h,f}}+{h,{f,g}}=0

Thanks.

- #2

UltrafastPED

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The Poisson brackets are the commutator here, and the system forms a Lie algebra.

Wikipedia goes further: http://en.wikipedia.org/wiki/Jacobi_identity

When this equality is satisfied it tells us something definite about infinitesimal motions ...

A particular application occurs in Hamiltonian mechanics:

http://sci.tech-archive.net/Archive/sci.physics/2004-07/5342.html

- #3

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Thank you!

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