Wikipedia:Reference desk/Science: Difference between revisions

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::::<math>\lang \phi | \psi \rang^* = \lang \phi^* | \psi^* \rang = \lang \psi|\phi\rang</math>
:::I think that does it, no? I have a more elaborate "rigorous" scheme, that involves pre-multiplying and post-multiplying and canceling out a bunch of terms that exactly equal 1, but that's a lot of TeX to type for essentially the same result as the above. [[User:Nimur|Nimur]] ([[User talk:Nimur|talk]]) 23:13, 25 October 2010 (UTC)
::::I think things have been defined differently for me than they have for you, so I'm having some trouble following your argument. For me, the "dagger" operation † can be defined such that |Ψ><sup>†</sup> = <Ψ|. I imagine my "dagger" is your *, but then you apply * to the amplitude <φ|ψ>, in which case * should be meant as the complex conjugate...so my guess is that * applied to an amplitude means something different than * applied to a ket. But then you say that <φ|ψ>* = (<φ|)<sup>†</sup>(|ψ>)<sup>†</sup>...isn't that tantamount to saying <φ|ψ>* = <ψ|φ>? Unless I'm missing something obvious (and I have a horrible feeling I am), then what you said seems circular. [[Special:Contributions/76.68.247.201|76.68.247.201]] ([[User talk:76.68.247.201|talk]]) 23:47, 25 October 2010 (UTC)
 
== Making Helium ==