Regularization methods for delta-function potential in two-dimensional quantum mechanics

The quantum mechanics of a bound particle in the delta-function potential i n two dimensions is studied with a discussion of its regularization and ren ormalization. A simple regularization approach is considered with the intro duction of several regularizing functions for defining the quantum system. More systematic regularization is introduced from the mathematical viewpoin t of the theory of distributions. The renormalization scheme independence o f the physical observable is demonstrated. (C) 2000 American Association of Physics Teachers.