This is about a specific property of the Wigner distribution in phase space. My professor mentioned the other day that the Wigner distribution treats all functions of momentum and space on the same footing as momentum itself or at least that's what I recall.He mentioned a specific problem where we had to show the following:(adsbygoogle = window.adsbygoogle || []).push({});

Considering the operatorqcosθ +psinθ =q_{θ}

and -qsinθ +pcosθ =p_{θ}

such thatq_{θ}|q_{θ}> = q_{θ}|q_{θ}>

We had to show that ∫ dp_{θ}W'(q_{θ},p_{θ}) = |<q_{θ}|ψ>|^{2}

where W is the Wigner dis.

You may find the problem a little hazy(so do I). Even my professor said that it he did not recall it exactly and it might not be properly defined.If anyone has seen this or might have a useful suggestion please help me.I would be very thankful.

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# Wigner distribution in phase space

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