@ 32:16 I don't get where the k comes in from in the relation for N choose m. Wonder if he should have written N! / m! (N - m) ! instead of N! / k! (N - k) !
@maxwellsdaemon73 жыл бұрын
Beginning around 30:00, the presenter did not explain what the table/matrix is (are these the matrix elements of the Hamiltonian?). He just drew a table. He was clear on subspaces of n electrons, but that does not require a table to explain. Again, he did not say what the table or matrix is. That was a good question from one of the listeners about what the y-axis is, but the presenter did not answer it.
@rashedlone553 жыл бұрын
The matrix represents the Hamiltonian. Also as he said that the columns represent the number of states.
@KaloqnZlatanoff3 жыл бұрын
The eigenvalues of the a and a+ lack roots @ 40:00
@maxwellsdaemon73 жыл бұрын
At 38:19, he was clear what the dimension is of the matrix (2^N x 2^N) but again he did not say WHAT the matrix is. He didn't even give it a name.
@wei-chihchen86473 жыл бұрын
The matrix is simply Hamiltonian.
@matthieusarkis58283 жыл бұрын
I think the statement [a_i, a_j] = 0 should be replaced by {a_i, a_j} = 0, and similarly for the creation operators.
@manannarang5453 жыл бұрын
Thank you for the information!
@krishnizzle Жыл бұрын
i dont think I have ever seen worse handwriting, but lecture is good