Benji Remez
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 Dec 24 comment Finding interplanetary flight trajectory using calculus of variations? I edited the body of the original question to show my progress. Dec 24 revised Finding interplanetary flight trajectory using calculus of variations? added 1518 characters in body Dec 22 comment Finding interplanetary flight trajectory using calculus of variations? Thanks! I'm having a look at that and trying to adapt it to the problem at hand. Dec 21 answered Why, for a spin-½ particle, are the possible outcomes of measuring spin projection along any direction the same? Dec 21 asked Finding interplanetary flight trajectory using calculus of variations? Dec 8 comment Partition function of bosons vs fermions I would just add a clarification that you consider states like $|12\rangle$ and $|21\rangle$ as indistinguishable (i.e., a proper boson\fermion state would be $|12\rangle \pm |21\rangle$) Dec 4 awarded Caucus Dec 2 comment Is there any possibility in the future that domestic power consumption could be wholly solar powered? Well, yearly fluctuations and bad weather, I assume, would cancel out when averaged over an entire year. Unless the location of choice is close to either of the poles, adjusting for latitude isn't as crucial as coming up with a more reasonable figure for the actual collection efficiency. Dec 2 answered Is there any possibility in the future that domestic power consumption could be wholly solar powered? Nov 30 accepted Is the momentum operator well-defined in the basis of standing waves? Nov 30 comment Is the momentum operator well-defined in the basis of standing waves? Alright, so here's a followup question. I agree that the mode counting operator produces equivalent information. But my problem is that these states do no distinguish between positive and negative momenta (they don't specify a sign). So, if I were to put wave packet in the box with some momentum, moving along, say, the positive $x$ axis, how would such a packet be decomposed in the basis of the eigenstates? And how would it differ if the initial momentum had been negative? Nov 30 comment Is the momentum operator well-defined in the basis of standing waves? I'm doing this indeed for numerical purposes. So technically speaking, since the matrix elements of $\hat{p}$ vanish when the difference between $m$ and $n$ increases, would taking a larger finite matrix result in the off-diagonal elements of $\hat{p}^2$ getting smaller? Nov 30 comment Is the momentum operator well-defined in the basis of standing waves? Shouldn't the momentum operator exist anyway, and any invariance of the Hamiltonian just imply that it (meaning its expected value) is conserved? Nov 30 asked Is the momentum operator well-defined in the basis of standing waves? Nov 28 comment How was the Oh-My-God particle observed? But how traceable are these jets, especially if a major portion of the particles produced do not reach any detector? (Also, what does PMT stand for?) Nov 28 asked How was the Oh-My-God particle observed? Nov 23 awarded Editor Nov 23 revised Energy Question added 81 characters in body Nov 23 comment Energy Question @dbaseman When the atoms decay, they don't vanish into thin air. Your expression for mass vanishes for t tending to infinity, which is wrong, since we still have a considerable mass of the ball as "radioactive waste". See my answer below. Nov 23 answered Energy Question