The problem of three coupled oscillators is treated in analogous manner as the twobody case of Sect.
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The problem of three coupled oscillators is treated in analogous manner as the twobody case of Sect. (4.3) with the Jacobi variables.
The Hamiltonian is
The canonical transformation (Jacobi variables) is
Calculate The poisson brackets {Xi , Pj }.
Describe the three-body trajectory (or manifold) in phase space.
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To calculate the Poisson brackets Xi Pj for i j 1 2 3 we will use the definition of Poisson brackets for any two functions Ax p and Bx p A B sumk left ...View the full answer
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