Differential representation of the delta function in two-dimensional quantum mechanics

Kok An Wong; Su Long Nyeo

doi:10.1016/j.cjph.2018.08.016

Differential representation of the delta function in two-dimensional quantum mechanics

Kok An Wong, Su Long Nyeo

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The exactly solvable model of a two-dimensional system consisting of a particle in a Dirac delta function potential is studied in position space in lieu of momentum space. This study is facilitated by representing the delta function as the second derivative of a radial function, which depends on a length scale. Such a representation of the delta function provides an instructive approach to understanding the role of an arbitrary length scale in the concepts of regularization and renormalization.

Original language	English
Pages (from-to)	2547-2552
Number of pages	6
Journal	Chinese Journal of Physics
Volume	56
Issue number	5
DOIs	https://doi.org/10.1016/j.cjph.2018.08.016
Publication status	Published - 2018 Oct

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/j.cjph.2018.08.016

Cite this

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abstract = "The exactly solvable model of a two-dimensional system consisting of a particle in a Dirac delta function potential is studied in position space in lieu of momentum space. This study is facilitated by representing the delta function as the second derivative of a radial function, which depends on a length scale. Such a representation of the delta function provides an instructive approach to understanding the role of an arbitrary length scale in the concepts of regularization and renormalization.",

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Differential representation of the delta function in two-dimensional quantum mechanics

Abstract

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