(a) Show that the transformation Q = p + iaq, P = (p − iaq) / (2ia) is canonical and find a generating function. (b) Use the transformation to solve the linear harmonic oscillator problem

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(a) Show that the transformation

Q = p + iaq, P = (p − iaq) / (2ia)

is canonical and find a generating function.

(b) Use the transformation to solve the linear harmonic oscillator problem

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