Question
The transformation of a 1D harmonic oscillator is given as:
Answer :
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For a one-dimensional system the canonicity of a transformation ((q,p)\rightarrow(Q,P)) is tested by evaluating the Poisson bracket ({Q,P}). A transformation is canonical if and only if this bracket is equal to unity. The given transformation is [ Q=\frac{\alpha}{q}, \qquad P=\alpha,p,q^{2}, ] where (\alpha) is a constant. First, compute the required
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