[Wien] A question

[Stefaan Cottenier]

> I think eigenvalues are <i|H|j> ( |i> and |j> is eigenfunctions,which
> is expanded by basis set )
> So how  the number of eigenvalues is related to the elements in basis
> set ?

|i> and |j> are not eigenfunctions, but members of the basis set. 
Indeed, otherwise you wouldn't be able to write down this matrix, as 
you don't know your eigenfunctions (yet). Once H is written down, 
solution of the matrix equation HC=SCE gives you the coefficients C 
that express the eigenfunctions in the basis set, and the 
corresponding eigenvalues.

Stefaan


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