| 波函数及其一阶微商的连续性 |
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| 引用本文： | 罗礼进,方靖淮. 波函数及其一阶微商的连续性[J]. 南通大学学报(自然科学版), 2007, 6(2): 18-20 |
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| 作者姓名： | 罗礼进 方靖淮 |
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| 作者单位： | 南通大学,理学院,江苏,南通,226007;南通大学,理学院,江苏,南通,226007 |
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| 摘 要： | 从薛定谔方程出发,依据数学原理对波函数及其一阶微商的连续条件作出严格的推证,得出波函数及其一阶微商连续的条件为:当势函数连续时,波函数及其一阶微商均连续;当势函数不连续时,若在其间断点的某一邻域内势函数有界,则波函数及其一阶微商连续.若在其间断点的某一邻域内势函数无界,则波函数及其一阶微商可能连续,也可能不连续.
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| 关 键 词： | 波函数 一阶微商 连续条件 间断点 |
| 文章编号： | 1673-2340（2007）02-0018-03 |
| 修稿时间： | 2006-11-03 |
Continuity of Wave-function and Its First Rank Differential |
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| LUO Li-jin,FANG Jing-huai. Continuity of Wave-function and Its First Rank Differential[J]. Journal of Nantong University (Natural Science Edition), 2007, 6(2): 18-20 |
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| Authors: | LUO Li-jin FANG Jing-huai |
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| Affiliation: | School of Sciences, Nantong University, Nantong 226007 ,China |
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| Abstract: | According to mathematical principles the article rigidly deduces from Schrodinger equation the continuity conditions of wave-function and its first rank differential.They will continue if potential function continues,or if it doesn't continue but has a bound in the contiguity of the discontinuous point.However,the continuity of wave-function and its first rank differential will be uncertain if potential function is discontinuous,and boundless in the contiguity of the discontinuous point. |
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| Keywords: | wave-function the first rank differential continuity condition discontinuous point |
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