| 何冬慧.正则化方法在三维δ函数势中的应用[J].南华大学学报(自然科学版),2006,20(1):96~99.[.An Application of Regularization Methods for Delta-Function Potential in Three-Dimensional Quantum Mechanics[J].Journal of University of South China(Science and Technology),2006,20(1):96~99.] |
| 正则化方法在三维δ函数势中的应用 |
| An Application of Regularization Methods for Delta-Function Potential in Three-Dimensional Quantum Mechanics |
| 修订日期：2005-12-19 |
| DOI： |
| 中文关键词: 正则化 重正化 δ函数势 |
| 英文关键词:regularization,renormalization,delta-function potential |
| 基金项目: |
| 何冬慧 |
| 南华大学数理学院,湖南衡阳421001 |
| 摘要点击次数: 879 |
| 全文下载次数: 3 |
| 中文摘要: |
| 用正则化和重正化方法研究了一个处于三维δ函数势中的束缚态粒子的量子力学性质．为了定义一个量子体系，首先引入几个正则化的函数来讨论一个一般的正则化方法、进一步，从广义函数论的数学观点出发，引入更加系统的正则化方法． |
| 英文摘要: |
| The quantum mechanics of a bound particle in the delta-function potential in three dimensions is studied with a discussion of its regularization and renormalization.A simple regularization approach is considered with introduction of several regularizing functions for defining the quantum system.Furthermore,more systematic regularization is introduced from the mathematical viewpoint of the theory of distributions. |
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