Let (p, q) and (P, Q) be two pairs of canonical variables. The transformation Q = qα cos(βp), P = qα sin(βp) is canonical for

α = 2, β = \(\frac{1}{2}\)

α = 2, β = 2

α = 1, β = 1

α = \(\frac{1}{2}\), β = 2

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