Great vid, as always. Something I'm a little confused about is whether or not the Fock operator is a 1 electron or 2 electron operator. I see it contains both 1 electron and 2 electron integrals but I've also heard it referred to as a single electron operator...
In some regards it is a one-electron operator, and in others it is a two-electron operator. I believe technically it is a one-electron operator, though you could make an opposing argument. It is technically a one electron operator because the effects of the 2nd electron (i.e. all other electrons) is abstracted away into the mean field potential. The electron isn't actually feeling any specific electron, but is experiencing the net average effect of all electrons. However, this depends on which orbital it's in, as the exchange operator cancels out self-interaction, so while each electron is interacting with all others it isn't interacting with itself, therefore each orbital experiences the mean field operator differently. And the core Hamiltonian part is of course uncontroversially a one-electron component.
You really are a great teacher =) thanks!
Great vid, as always. Something I'm a little confused about is whether or not the Fock operator is a 1 electron or 2 electron operator. I see it contains both 1 electron and 2 electron integrals but I've also heard it referred to as a single electron operator...
In some regards it is a one-electron operator, and in others it is a two-electron operator. I believe technically it is a one-electron operator, though you could make an opposing argument. It is technically a one electron operator because the effects of the 2nd electron (i.e. all other electrons) is abstracted away into the mean field potential. The electron isn't actually feeling any specific electron, but is experiencing the net average effect of all electrons. However, this depends on which orbital it's in, as the exchange operator cancels out self-interaction, so while each electron is interacting with all others it isn't interacting with itself, therefore each orbital experiences the mean field operator differently. And the core Hamiltonian part is of course uncontroversially a one-electron component.
@@TMPChem hmmmmm okay that clears things up. Thanks!
I realize it is pretty off topic but does anybody know a good place to stream newly released movies online ?
@Vivaan Lachlan Flixportal :)
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First.