PeterDonis's latest activity
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PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.That's only correct for a free particle, i.e., zero potential. That's not the case in your example; you have a potential confining the... -
PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.That's true. I haven't computed the actual deltas from the energy eigenstates the OP is using, but of course that could be done to see... -
PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.Yes, it assumes that the only source of uncertainty is that inherent in the quantum wave function. That's the argument I understood the... -
PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.You can't argue anything from an uncertainty relation where one of the factors is zero. That breaks the math. -
PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.And this invalidates the rest of your reasoning regarding ##\Delta p## being infinite. The correct conclusion from ##\langle H \rangle =... -
PeterDonis replied to the thread Graduate Is photon frequency intrinsic or observer-dependent?.No. The geodesic is a worldline. The 4-momentum is a 4-vector ##k^\mu## that is tangent to that worldline. And... No, this is not... -
PeterDonis replied to the thread Graduate Is photon frequency intrinsic or observer-dependent?.Since we are talking about relativity, the term "photon" is out of place; that's a quantum term. A better term might be "light pulse" or... -
PeterDonis replied to the thread Undergrad Discrepancy in uncertainty among various operators.How are you obtaining these statements? Please show your work. -
PeterDonis replied to the thread Graduate Time evolution of a detected particle.If the potential in the box walls has only a finite width, yes. -
PeterDonis replied to the thread Undergrad Homogeneity of space and time in Landau & Lifshitz.By analogy, "homogeneity of time" would mean invariance under time translations. And "homogeneity of space and time", which is what... -
PeterDonis replied to the thread Undergrad Homogeneity of space and time in Landau & Lifshitz.What source? Again, please give a specific reference. I'm not sure there's actually a difference, but without seeing the actual other... -
PeterDonis replied to the thread Undergrad Homogeneity of space and time in Landau & Lifshitz.Btw, I personally would argue that the statement I just quoted above, all by itself, is sufficient to establish that we must have ##ds =... -
PeterDonis replied to the thread Undergrad Homogeneity of space and time in Landau & Lifshitz.Ok, so their ##ds## and ##ds'## are describing the same infinitesimal spacetime interval in flat spacetime, just in two different... -
PeterDonis reacted to Dale's post in the thread Graduate Using General Relativity to analyze the twin paradox with
Like.
A. Einstein. "The Foundation of the General Theory of Relativity". Annalen der Physik 354 (7), 769-822. (Translated version at... -
PeterDonis replied to the thread Undergrad Homogeneity of space and time in Landau & Lifshitz.Which book? Where? Please give a specific book/chapter/section/page reference.