Consider motion in the xy-plane governed by a Hamiltonian H(p x , p y , x, y).
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Consider motion in the xy-plane governed by a Hamiltonian H(px , py, x, y). Introduce polar coordinates x = r cos?, y = r sin ?, px = p cos ?p, py = p sin ?p, and use the chain rule for partial derivatives,e.g. ?H/?? = (?H/?x)(?x/??) + (?H/?y)(?y/??), etc.,to derive eq. (21.17).
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i = {L, H}
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From its definition eq 2111 Since L xp y yp x w...View the full answer
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