How did the Poisson brackets get derived, and from what.

Thread starter houlahound
Start date Apr 18, 2015
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Poisson Poisson brackets

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Poisson brackets are mathematical constructs used in classical mechanics to describe the evolution of dynamical systems. They arise from Hamiltonian mechanics and are linked to the conservation of physical quantities. The discussion highlights their lack of explicit derivation in many texts, leading to questions about their foundational origins. Practical applications of Poisson brackets include solving problems in statistical mechanics and celestial mechanics. Overall, they serve as a bridge between classical and quantum mechanics, emphasizing their significance in theoretical physics.

Apr 18, 2015

houlahound

do they have a physical meaning and did they fall out of another theory.

I have only ever seen them stated as a fact, I am assuming they are a result of something ie a consequence of another more fundamental theory.

when are they used in a practical problem solving sense to solve real world problems?

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Apr 18, 2015

kreil

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http://en.wikipedia.org/wiki/Poisson_bracket

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