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 Jan 18 comment Different kinds of the same isotope Thank you! I used google too and found nothing... weird. Jan 18 asked Different kinds of the same isotope Jan 18 comment Origin of the names for the decay chains Ra226 has a half life of 1601 years, and an abundance of 100%, and Uranium 238 has a half life of billions of years and abundance of 99.3%... I don't know what can we conclude from this. Jan 17 asked Origin of the names for the decay chains Jan 8 accepted Do eigenvectors of quantum operators span the whole Hilbert Space? Jan 7 comment Do eigenvectors of quantum operators span the whole Hilbert Space? I was taught that the columns of a diagonalised matrix are its eigenvectors. But now I feel like I'm confused about that. Jan 7 comment Do eigenvectors of quantum operators span the whole Hilbert Space? Oh, right, that's the whole problem, I didn't get the right eigenvectors. I just took them to be the coumns of the matrix. Aren't they supposed to be the eigenvectors? Jan 6 awarded Commentator Jan 6 comment Do eigenvectors of quantum operators span the whole Hilbert Space? Well, the three Lx eigenvectors I get are (0, 0, 0), (1, 1, 1) and (1, -1, 1). How can you compose, say, the vector (0, 0, 1) out of them? Jan 6 asked Do eigenvectors of quantum operators span the whole Hilbert Space? Dec 2 accepted General wavefunction and Schrödinger Equation Dec 2 comment General wavefunction and Schrödinger Equation Thanks for your answers. I didn't get this, though: " You can think of the first as doing an inner product with a momentum eigenstate in the position basis, and of the latter as doing an inner product with a position eigenstate in the momentum basis." Could you (or anyone else) explain that a little more? An inner product of what? PD: Trimok, may it be that you've written system instead of state? Dec 2 asked General wavefunction and Schrödinger Equation Jun 25 asked Why can't we obtain a Hamiltonian by substituting? Jan 14 comment Entalpy and entropy role in freezing-point depression phenomena Yeah, I'm more interested in a "physical" explanation, rather than a mathematical one. But thanks, anyway. Jan 14 accepted Eutectic systems behavior near 100%-0% composition and low temperature Jan 14 comment Eutectic systems behavior near 100%-0% composition and low temperature Thanks! That completely answers my question. However, what will happen if we were to lower even more the temperature of the almost-pure sample? According to the diagram it would turn into $\alpha$ + $\beta$, does it mean that the atoms of the low-concentration component would "get closer" until we could see some of them with the naked eye? How could this even happen at an atomic level if the high-concentration element particles have already organized into a solid body? Jan 14 comment Eutectic systems behavior near 100%-0% composition and low temperature Suppose we have a number of mixtures of $\alpha$ and $\beta$. If we pick one with a 99% concentration of, say $\alpha$ at a temperature above $\alpha$'s fusion point. When the temperature drops to below the L+$\alpha$ - Solid $\alpha$ equilibrium line, what happens? According to the diagram we have pure solid $\alpha$. Where does the other component go? Jan 14 revised Eutectic systems behavior near 100%-0% composition and low temperature edited title Jan 14 asked Entalpy and entropy role in freezing-point depression phenomena