Next: Variational Principle
Up: Variational Methods
Previous: Variational Methods
We have seen, in Sect. 9.4, that we can solve Schrödinger's equation exactly to find the stationary eigenstates
of a hydrogen atom. Unfortunately, it is not possible to find exact
solutions of Schrödinger's equation for atoms more complicated than hydrogen, or for molecules. In such systems, the best that we can do
is to find approximate solutions. Most of the methods which have been developed for finding such solutions employ the so-called variational
principle discussed below.