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一维无限深势阱中粒子的位置-动量不确定关系: 基于计算的讨论

Position-momentum uncertainty relation for a particle in the one-dimensional infinite potential well:revisited after calculation

  • 摘要: 不确定性原理是一个长期被误解和滥用了的概念.文章计算了一维无限深势阱中粒子的位置和动量的不确定度△x和△p,指出它们遵守不确定性关系△x·△p/2的一般性结论,但△x和△p总是同向变化的.所谓“此一量不确定度越大,彼一量不确定度越小”式的表述是没有根据的.类似地, △t和△E(注意, △意义已变) 的同向变化也早在实验上被观察到.

     

    Abstract: Position and momentum uncertainties, Δx and △p,for a particle in the one-dimensional infinite potential well are calculated. It shows that they obey the general uncertainty relation △x·△p/2 though,yet they follow the same trend in changing among different states. Similar phenomenon for △t and △E (where △ has a distinct definition) also has been confirmed in some spectral measurements.

     

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