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

物理學系

研究成果: Article › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	English
頁（從 - 到）	2547-2552
頁數	6
期刊	Chinese Journal of Physics
卷	56
發行號	5
DOIs	https://doi.org/10.1016/j.cjph.2018.08.016
出版狀態	Published - 2018 10月

All Science Journal Classification (ASJC) codes

物理與天文學 (全部)

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10.1016/j.cjph.2018.08.016

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

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