Separate Focus HTML for Basic Foil 5 Operations used with Hamiltonian operator

Basic HTML version of Foils prepared 6 December 96

Foil 5 Operations used with Hamiltonian operator

From Full Matrices - December 4, 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox, Nancy J. McCracken

1	Often you want to find eigenstates
2	where operator H is diagonal with respect to basis set . However, this is usually impossible.
3	Often one knows that
4	for example, if the compound is ,then is the "free" Hamiltonian for isolated molecules
5	and is the interaction, i.e. the forces between atoms.
6	Simple states diagonalize , but will be nonzero for "most" i and j.