bhobba's latest activity
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bhobba reacted to Nugatory's post in the thread I Shape of wave function (probability distribution) of a single photon with
Like.
You could, and then you would indeed get a wave function as an answer. If the process creating the electron allows the electron to be... -
bhobba reacted to martinbn's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with
Informative.
The Schwartz space is dense in the ##L^2## space. -
bhobba reacted to PeroK's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with Like.
I think the real issue here is that the original wave function is not physically viable. The space of physically viable wave-functions...
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bhobba reacted to martinbn's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with Like.
You are missing the point that an operator need not be defined on the hole space, but just on a dense subspace. Look up unbounded operators.
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bhobba reacted to PeroK's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with Like.
The mathematics on which QM is based demands it.
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bhobba reacted to PeroK's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with Like.
That's simply not a valid wave function. Square integrability is not sufficient. An operator on the set of square integrable functions...
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bhobba reacted to olivermsun's post in the thread I Phase and group velocity for the wave function with Like.
Maybe start with this question: if you write ##\omega## as a function of ##k##, what does ##\omega(k)## represent? (Think about light in...
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bhobba reacted to WWGD's post in the thread A What happens when an operator maps a vector out of the Hilbert space? with Like.
And a good example would be the Laplacian defined in a dense subspace of ##L^2##, as ##L^2## functions may not even be...