Say we have the same state [itex]\boldsymbol{\psi_r}[/itex] in momentum basis, or [itex]\boldsymbol{\phi_p}[/itex] in position basis. I want to make either a position observation or a momentum observation. How do I write the operation and the result mathematically, [itex]\mathbf{r} \boldsymbol{\psi}[/itex], [itex]\mathbf{r} \boldsymbol{\phi}[/itex], [itex]\mathbf{p} \boldsymbol{\psi}[/itex], or [itex]\mathbf{p} \boldsymbol{\phi}[/itex]? In terms of the results, which ones would be physically equivalent, assuming the same wavefunction always collapses to the same eigenstate of whatever the observable is. Please ask questions / offer suggestions if I'm not making any sense, because I have a feeling some of it may not.(adsbygoogle = window.adsbygoogle || []).push({});

By the way, is [tex] the same as [itex]? Is there a thread/post/sticky on how to use these markups?

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# Operations on a State in Different Bases

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