bhobba's latest activity
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bhobba reacted to PeroK's post in the thread High School Classic question regarding the nature of quantum tunneling with
Haha.
If you've lost your cat, don't blame Quantum Mechanics. -
bhobba reacted to QuarkyMeson's post in the thread Programs What core abstractions connect real analysis, probability, operators? with
Like.
When you let AI write your question for you it just becomes muddy about what you're actually trying to ask or what you really understand. -
I got out ahead of my skis on that, trying to make it look pretty, but I've fixed what I originally wrote. It's now ##\int u~dv = uv -...
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Why do you think that's wrong?
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I'm not sure why you are calculating an indefinite integral. The first rule of mathematical physics is that the first term in a parts...
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
This depends on how "Lorentz force" is defined--which has already been the subject of some discussion in this thread. Certainly the ##q...
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bhobba reacted to Sagittarius A-Star's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
I think that cannot be, because Purcell does a calculation of the electric force in the rest frame of the object via lenght contraction...
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
Yes, because you can express both the observer's 4-velocity and the overall EM field as covariant objects (a 4-vector and an...
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
In the lab frame, yes, this is the case. But it is not the case in the rest frame ##S'## of the object. In that frame there is a nonzero...
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
Which is equivalent to what I wrote in post #4, i.e., it is not just the magnetic force. So what I said in post #4 would apply if one...
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bhobba reacted to Sagittarius A-Star's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
One could start from the equation for the Lorentz 4-force and from that it is rest mass-preserving. Source
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
There's no way to define "Lorentz force" as being solely due to the magnetic field and have the definition be covariant. And if we...
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bhobba reacted to pervect's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
It seems to me that if you define the Lorentz force as being only due to the magnetic field, the Lorentz force is perpendicular to the...
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bhobba reacted to PeterDonis's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
In general this is not the case. The Lorentz force is ##F = q \left( \vec{E} + \vec{v} \times \vec{B} \right)## (modulo some constant...
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bhobba reacted to A.T.'s post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Like.
Not just upward, but to the right (like it was moving before) and upward. So you have to apply the Lorentz transformation along that...