Perturbation theory is used for problems which are too difficult. . Assume H is dividable into a solvable part: with and
Example: Helium The last term is , the other terms are just the solution for the hydrogen twice in a tensor product. Solution of , . Then .
In matrix language: so . Unfortunately, this is not easily solvable.
Method: start with one and see how it changes as is turned on. for very small.
Theory developed in perturbation expansion.