An Analytical Example of Renormalization in 2-Dimensional Quantum Mechanics

Document Type

Article

Publication Date

10-1-1991

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

As a concrete example of the idea of renormalization, quantum mechanical scattering of particles by a two-dimensional delta-function potential is considered. The renormalization of the scattering cross section is carried out exactly and analytically. The calculation, free from obscuring mathematical details required for realistic field theories, may aid in making the idea of renormalization more accessible.

Publication Title

American Journal of Physics

Volume

59

Issue

10

First Page

935

Last Page

937

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