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Results tagged with poisson-brackets
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user 313661
In phase-space classical Hamiltonian mechanics, the Poisson bracket is an antisymmetric binary operation acting like a derivative.
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Why do we need a Poisson bracket structure?
Let me start by asking why we need a Poisson bracket like structure on the Hamiltonian phase space? Say we have a constraint, why do we go through the trouble of defining a Dirac bracket structure on …
- 129k
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34
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Poisson bracket [duplicate]
The question starts with why Poisson brackets (in constrained systems) gives different relation if we substitute the constraints before or after expanding the bracket, and why this difference in rela …
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64
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Regarding Poisson and Dirac brackets [duplicate]
The question starts with why Poisson brackets (in constrained systems) gives different relation if we substitute the constraints before or after expanding the bracket, and why this difference in relat …
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1
answer
70
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Regarding Poission structure of Hamiltonian phase space
Why exactly do we need $$ \{q^i,p_j\}=\delta^i_j,$$ where $\delta^i_j$ is Kronecker delta and $\{\cdot,\cdot\}$ is the Poisson bracket? What happens to the phase space structure if these fundamental …
- 412
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Constrained Hamiltonian problems [closed]
What happens to the poisson bracket structure of Hamiltonian phase space if We have some constraints in $p$ and $q$. What physical aspects this structure represents?
- 213k