| 正则化方法在三维δ函数势中的应用 |
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| 引用本文： | 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 |
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| 作者姓名： | 何冬慧 |
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| 作者单位： | 南华大学,数理学院,湖南,衡阳,421001 |
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| 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．
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| 关 键 词： | 正则化 重正化 δ函数势 |
| 文章编号： | 1673-0062(2006)01-0096-04 |
| 修稿时间： | 2005-12-19 |
An Application of Regularization Methods for Delta-Function Potential in Three-Dimensional Quantum Mechanics |
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| HE Dong-hui. An Application of Regularization Methods for Delta-Function Potential in Three-Dimensional Quantum Mechanics[J]. Journal of Nanhua University(Science and Technology), 2006, 20(1): 96-99 |
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| Authors: | HE Dong-hui |
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| Abstract: | 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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| Keywords: | regularization renormalization delta-function potential |
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