If, for a phase space function f(pi,qi) (that is, no explicit time dependence) [H,f]=0, then f(pi,qi) is a constant of the motion, also called an integral of the motion. In fact, the Poisson bracket can be defined for any two functions defined in phase space:
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system.
Explanation:
kuch nhi bss math padh rhi thi...tum batao kya kr rhe ho?
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Explanation:
If, for a phase space function f(pi,qi) (that is, no explicit time dependence) [H,f]=0, then f(pi,qi) is a constant of the motion, also called an integral of the motion. In fact, the Poisson bracket can be defined for any two functions defined in phase space:
[f,g]=∑i(∂f∂pi∂g∂qi−∂f∂qi∂g∂pi)
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Answer:
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system.
Explanation:
kuch nhi bss math padh rhi thi...tum batao kya kr rhe ho?
BTW hru? :)