Mod-01 Lec-20 Hartree-Fock Self-Consistent Field formalism - 1

Select/Special Topics in Atomic Physics by Prof. P.C. Deshmukh, Department of Physics, IIT Madras. For more details on NPTEL visit nptel.iitm.ac.in

[@systemdown7727]

i am still beginner, Can the schrodinger equation work on two or more than two electron system?? though we know quantum mechanically the electron posses both particle as well as wave.

[@bishalthapa2179]

great lessons can you provide some lecture on Density functional theory kohn sham equations

[@HimanshuSharma-xn6uc]

How can I find PDF

[@solsticetwo3476]

Such a great lecture

[@sagarbehera9406]

Crystal clear..

[@TAPASDAS-iy5zk]

Nice...love it

[@waatchit]

Can someone please explain to me how the two terms are equivalent (@ 14:13), i.e. Summation 1/rij is written as 1/2(Summation Summation 1/rij).

[@TMPChem]

Hi Waatchit. The first sum is a pairwise sum. The summation occurs for all values of i and j where i < j, and both are less than or equal to N. The second sum is a double sum. That summation occurs over all values of i and j below or equal to N, with no relative restriction between i and j, except that i =/= j. These two sums are exactly the same, except that the second "double counts" the i j pairs (i.e. 1-3 and 3-1 are included), so we remove the double-counting problem by adding a factor of 1/2.

[@gauthambekal235]

Hello waatchit its a good question and my explanation is as follows: Consider three values 1,2,3 now as per the1st summation the value of i

[@krishnapriya6412]

awesome lecture

[@user-to3fx2do4d]

Hello, sir. ! Generally, the anti-symmetric wave function is not the eigenfunction of the system. Example. Please suppose the system composed of two electrons. Electron 1 is in a hydrogen atom. Electron 2 is in a helium ion He+. rA, rB:the position of each nucleus. ❘rA-rB❘>>1. H1=(p1^2/2m)-(e^2/4πε0❘r1-rA❘), H2=(p2^2/2m)-(2e^2/4πε0❘r2-rB❘), H1φA(r1)=EAφA(r1), H2φB(r2)=EBφB(r2). Hartree productφA(r1)φB(r2) is the eigenfunction of operator H1+H2, and lead us the energy of the system EA+EB. But, another productφA(r2)φB(r1) is not the eigenfunction of operator H1+H2. (Please calculate it. It's very easy.) Therefore, the anti-symmetric wave function ψ=φA(r1)φB(r2)-φA(r2)φB(r1) is not the eigenfunction of the system.

[@physicshunter2917]

Sir slides mil skte ha eska

[@physicshunter2917]

Ya pdf mil skta ha

[@romanazahoor4731]

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