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 |
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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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Authors: | LUO Li-jin FANG Jing-huai |
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Institution: | 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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