(a) The Hamiltonian for a system has the form H = 1/2 (1/q2+ p2q4). .Find the equation of motion for q. (b) Find a canonical transformation that reduces H to the form of harmonic oscillator. Show that the solution for the transformed variables is such that the equation of motion found in part (a) is satisfied.
(a) The Hamiltonian for a system has the form H = 1/2 (1/q2+ p2q4). .Find the equation of motion for q. (b) Find a canonical transformation that reduces H to the form of harmonic oscillator. Show that the solution for the transformed variables is such that the equation of motion found in part (a) is satisfied.
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(a) The Hamiltonian for a system has the form H = 1/2 (1/q2+ p2q4). .Find the equation of motion for q.
(b) Find a canonical transformation that reduces H to the form of harmonic oscillator. Show that the solution for the transformed variables is such that the equation of motion found in part (a) is satisfied.
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