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

Authors
Citation
Sl. Nyeo, Regularization methods for delta-function potential in two-dimensional quantum mechanics, AM J PHYS, 68(6), 2000, pp. 571-575
Citations number
16
Categorie Soggetti
Physics
Journal title
AMERICAN JOURNAL OF PHYSICS
ISSN journal
00029505 → ACNP
Volume
68
Issue
6
Year of publication
2000
Pages
571 - 575
Database
ISI
SICI code
0002-9505(200006)68:6<571:RMFDPI>2.0.ZU;2-D
Abstract
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.