(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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