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也谈一维无限深势阱内粒子(基态)的动量概率分布
引用本文:陶宗英. 也谈一维无限深势阱内粒子(基态)的动量概率分布[J]. 大学物理, 1998, 17(7): 19-21
作者姓名:陶宗英
作者单位:上海交通大学应用数学系,上海,200030
摘    要:对一维无限深热阱内粒子(基态)动量的概率分布的两种不同结论进行了详细分析,认为该问题实质是近代量子力学基本理论中本质困难的反映。这就是说,本用数学方法证明了量子力学的基本假设中存在着逻辑矛盾。

关 键 词:量子力学 概率分布 不确定关系 势阱 基态 粒子

ON THE PROBABILITY DISTRIBUTION OF MOMENTUM FOR A PARTICLE (IN GROUND STATE) IN ONE-DIMENSIONAL INFINITE SQUARE WELL
Tao Zongying. ON THE PROBABILITY DISTRIBUTION OF MOMENTUM FOR A PARTICLE (IN GROUND STATE) IN ONE-DIMENSIONAL INFINITE SQUARE WELL[J]. College Physics, 1998, 17(7): 19-21
Authors:Tao Zongying
Abstract:Two different results concerning the probability distribution of momentum for a particle (in ground state) in one-dimensional infinite square well are analyzed in details. The contradiction reflects the fundamental difficulty within the framework of modern quantum mechanics. It is mathematically proven that there exists inconsistency within the fundamental hypotheses of quantum mechanics.
Keywords:quantum mechanics  probability distribution  uncertainty relation
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