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bhobba's latest activity
bhobba
replied to the thread
I
Shape of wave function (probability distribution) of a single photon
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You may be interested in the following https://arxiv.org/abs/quant-ph/0703126 https://arxiv.org/abs/1902.00015...
Jul 24, 2025
bhobba
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J O Linton's post
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Shape of wave function (probability distribution) of a single photon
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I completely accept that. Thanks.
Jul 24, 2025
bhobba
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PeroK's post
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Shape of wave function (probability distribution) of a single photon
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Dirac's equation is for the electron. You need QED (Quantum Electrodynamics) for light. Feynman wrote a book on this...
Jul 24, 2025
bhobba
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Nugatory's post
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Shape of wave function (probability distribution) of a single photon
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It isn't. We explain the double-slit experiment with light by doing a classical calculation of classical electromagnetic waves passing...
Jul 24, 2025
bhobba
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renormalize's post
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Shape of wave function (probability distribution) of a single photon
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Can you cite a textbook example where the Schrodinger Wave Equation is successfully applied to an electromagnetic wave passing through a...
Jul 24, 2025
bhobba
reacted to
Nugatory's post
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Shape of wave function (probability distribution) of a single photon
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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...
Jul 24, 2025
bhobba
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martinbn's post
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What happens when an operator maps a vector out of the Hilbert space?
with
Informative
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The Schwartz space is dense in the ##L^2## space.
Jul 23, 2025
bhobba
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PeroK's post
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What happens when an operator maps a vector out of the Hilbert space?
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I think the real issue here is that the original wave function is not physically viable. The space of physically viable wave-functions...
Jul 23, 2025
bhobba
reacted to
martinbn's post
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What happens when an operator maps a vector out of the Hilbert space?
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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.
Jul 23, 2025
bhobba
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PeroK's post
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What happens when an operator maps a vector out of the Hilbert space?
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The mathematics on which QM is based demands it.
Jul 23, 2025
bhobba
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PeroK's post
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What happens when an operator maps a vector out of the Hilbert space?
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That's simply not a valid wave function. Square integrability is not sufficient. An operator on the set of square integrable functions...
Jul 23, 2025
bhobba
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olivermsun's post
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Phase and group velocity for the wave function
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Maybe start with this question: if you write ##\omega## as a function of ##k##, what does ##\omega(k)## represent? (Think about light in...
Jul 23, 2025
bhobba
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WWGD's post
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What happens when an operator maps a vector out of the Hilbert space?
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And a good example would be the Laplacian defined in a dense subspace of ##L^2##, as ##L^2## functions may not even be...
Jul 23, 2025
bhobba
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PeterDonis's post
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Missing proof of the Shell theorem in General Relativity
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This is not a good way to choose a subforum. "Non-standard thinking" in this context means personal speculation, which is off limits...
Jun 25, 2025
bhobba
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PeroK's post
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Missing proof of the Shell theorem in General Relativity
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For ##r < r_s##, the coordinate ##r## is timelike. Just because you use ##r## as a coordinate doesn't mean it's a radius. The...
Jun 25, 2025
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