Introduction and history of quantum eigenproblems

Here I outline the general problem of solving for quantum eigenstates in a finite domain, and categorize some of the various strategies which are used. The case of billiard systems at high quantum number is a relatively recent example. I give a historical overview of which methods have been used for this system.

- General definitions
- Categories of existing numerical solution techniques

- Brief history of the quantum billiard eigenproblem

Alex Barnett 2001-10-03