Tom Mattson Posted April 2, 2003 Share Posted April 2, 2003 Could someone please show me how to do stuff like this: Originally posted by fafalone I banned myself last night. After blike unbanned me this morning, I removed the limit on number of images per post, so let's try this again. I gave background equations for visualization in 2D first, but I'm skipping that. This isn't nearly in depth, but still has my basic idea. Also realize that I'm a freshman who has self-taught himself everything he knows about QM Begin by using the 3D Hamiltonian operator in the Shrodinger equation: [-h2/2m (:pdif:2/:pdif:x2 + :pdif:2/:pdif:y2 + :pdif:2/:pdif:z2) + V(x,y,z)]:lcpsi:(x,y,z) = E:lcpsi:(x,y,z) H(x,y,z):lcpsi:(x,y,z) = E:lcpsi:(x,y,z) Now use separation of variables: [Hx(x) + Hy(y) + Hz(z)][:lcpsi:x(x) + :lcpsi:y(y) + :lcpsi:z(z)] = (Ex + Ey + Ez)(:lcpsi:x(x) + :lcpsi:y(y) + :lcpsi:z(z)) From this, you should be able to see how working with the wave function in 3 dimensions is just like in 2... you're basically solving the same equation 3 times. Normalization gives: :int::int::int:|:lcpsi:(x,y,z)|2dxdydz = :int:0a(2/a) (sin2((nx:pi:x)/a)dx:int:0b(2/b) (sin2((ny:pi:y)/b)dy:int:0c(2/c) (sin2((nz:pi:z)/c)dz = 1 Hope this helps a little. Is there a website that contains all this information? Thanks, Tom Link to comment Share on other sites More sharing options...
fafalone Posted April 2, 2003 Share Posted April 2, 2003 How to use the symbols or how to do the problems? I just found a site with gifs of the symbols and uploaded as custom smilies. Link to comment Share on other sites More sharing options...
Tom Mattson Posted April 2, 2003 Author Share Posted April 2, 2003 :slaphead: Clicking on "get more" sure helps. Thanks, Tom Link to comment Share on other sites More sharing options...
Kedas Posted November 22, 2003 Share Posted November 22, 2003 test Link to comment Share on other sites More sharing options...
dethfire Posted December 5, 2003 Share Posted December 5, 2003 Kedas how can you have -10 hours logged? Link to comment Share on other sites More sharing options...
Sayonara Posted December 5, 2003 Share Posted December 5, 2003 lol Server probs the other day. Link to comment Share on other sites More sharing options...
Dudde Posted December 5, 2003 Share Posted December 5, 2003 no fingers pointed at blike of course Link to comment Share on other sites More sharing options...
Kedas Posted December 6, 2003 Share Posted December 6, 2003 Greg Bernhardt said in post #5 :Kedas how can you have -10 hours logged? That's normal, I'm a slow starter Neg. Time: I logout first and then I login All other people do it the other way around serious: I logged in while traveling at almost light speed and that messed up the time on the server, I wont do it agian, sorry. Link to comment Share on other sites More sharing options...
Dudde Posted December 6, 2003 Share Posted December 6, 2003 he's gettin' there Link to comment Share on other sites More sharing options...
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