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

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SUMMARY

The Poisson brackets are derived from Hamiltonian mechanics and serve as a fundamental structure in classical mechanics, particularly in the context of phase space. They provide a mathematical framework for understanding the evolution of dynamical systems and have significant implications in areas such as statistical mechanics and quantum mechanics. The discussion emphasizes their theoretical origins and practical applications in solving real-world problems, highlighting their importance in advanced physics.

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  • Awareness of statistical mechanics principles
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Physicists, mathematicians, and students of advanced mechanics seeking to deepen their understanding of dynamical systems and their applications in theoretical and practical contexts.

houlahound
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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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