Recent content by sungholee

Thanks, everything makes so much more sense now haha. But what do you mean by ? Also, final question related to this: what exactly does [α(1)β(2)-β(1)α(2)] imply? I suppose that [α(1)β(2)+β(1)α(2)] means the sum of the two possible spin states (up,down and down,up) which explains the summation...

Actually, I think I just understood it. The single-triplet thing is derived from the spin wave functions and due to fermions having to be antisymmetric overall, only the antisymmetric space wave function can be the triplet for a hydrogen molecule. As opposed to the space wave function itself...

As in, I understand that the addition leads to symmetric and the subtraction leads to antisymmetric, but how does that relate to the singlet and triplet states?

For a H2 molecule (for the independent particle model, if that matters). I guess what I might really be asking then is the physical implication of adding and subtracting the components? (the MOs and the spins) in the wavefunctions.

Great. Thank you!

Oh right. Then I assume there is no other explanation except for the mathematical derivation, as it's not technically got a physical meaning until the operator has been "operated" on a function, is that right? Thanks so much

Thanks for the reply. I understand that, but I still don't understand why the triplet state for the space is subtractive and for the spin is additive. As in, the product of the two would still be antisymmetric even if the triplet state for the space was additive and for the spin subtractive...

Why is the triplet state space wave function ΨT1=[1σ*(r1)1σ(r2)-1σ(r1)1σ*(r2)] (ie. subtractive)? How does it relate to its antisymmetric nature? Also, why is this opposite for the spin wave function α(1)β(2)+β(1)α(2) (ie. additive)? And why is this one symmetric even though it describes the...

In the Hamilonian for an H2+, the kinetic energy of the electron (KE of nucleus ignored due to born-oppenheimer approximation) has a negative sign in front of it. I understand the signs for the potential energy operators but not for the KE apart from the strictly mathematical point of view. Can...

If you pull and let go three "balls" from one side of a Newton's cradle, three will be pushed from the other side. But why is that? Why can't one ball be pushed three times as fast (or far?) as a result of the three balls? Or 2, for that matter?

Thanks, but I knew all of that already. But what does it mean that the objects reflect light? How does it exactly "differentiate" between the different wavelengths? For atoms, there are the different energy levels that each correspond to a frequency, but how does that work in different objects...

Hi, I'm a recent high school graduate and I was just wondering about where colour comes from. I know about the flame tests of different metals and that the sky is blue due to refraction and stuff, but what about just everyday objects? Is wood brown because the electrons in the wood particles (I...

In essence, yes I am.

Hello. I am a high school level student and I had a question about weak acids/bases and why they wouldn't work as a buffer on its own. If the dissociation of a weak acid is HA \rightleftharpoons H^{+} + A^{-}, then when we add OH^{-}, it will react with the H^{+} to form water. Because the...

Haha yep you're right. My bad :p I did mean alteration But according to quantum physics, doesn't entanglement of the two particles 'disappear' (I'm not sure if this is the right term but I mean the particle that existed in a superposition state becomes defined and thus exists at only one...