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Given the Hamiltonian H = p²/2m + a · p + V, with a = a(r) and V = the corresponding Lagrangian. If V = –F ·r with a and F constant vectors, solve Hamilton’s equations with the initial conditions r(0) = 0, p(0) = 0. V(r), find

Given the Hamiltonian H = p²/2m + a · p + V, with a = a(r) and V = the corresponding Lagrangian. If V = –F ·r with a and F constant vectors, solve Hamilton’s equations with the initial conditions r(0) = 0, p(0) = 0. V(r), find

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Given the Hamiltonian H = p² /2m + a · p+ V, with a = the corresponding Lagrangian. If V = -F ·r with a and F constant vectors, solve Hamilton's equations with the initial conditions r(0) = 0, p(0) = 0. 7.2 a(r) and V = V(r), find
Transcribed Image Text:Given the Hamiltonian H = p² /2m + a · p+ V, with a = the corresponding Lagrangian. If V = -F ·r with a and F constant vectors, solve Hamilton's equations with the initial conditions r(0) = 0, p(0) = 0. 7.2 a(r) and V = V(r), find
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