节点文献
量子力学中波函数满足不确定关系的条件
The Conditions of Wave Functions Which Satisfy the Uncertainty Relation in Quantum Mechanics
【摘要】 本文从两种不同的观点对量子力学中的不确定关系进行了分析,强调指出它并不是对一切波函数都适用的。我们用严格的数学方法给出了不同涵义和形式的不确定关系的表达式,得到了波函数满足不确定关系的充要条件或充分条件。这些讨论可能有助于澄清关于不确定关系还存在的一些模糊问题。
【Abstract】 The uncertainty relations in quantum mechanics are analysed from different pointsof view.It is stressed that these relations are not valid for all wave functions.Bymeans of rigorous methods in mathematics,we have derived the uncertainty relationswith various implications and expressions.The necessary and sufficient conditions orsufficient conditions of wave functions which may satisfy the uncertainty relationsare obtained.These discussions might prove helpful in clearing up some ambiguitiesconcerning the uncertainty relations which still exist.
- 【文献出处】 上海交通大学学报 ,Journal of Shanghai Jiaotong University , 编辑部邮箱 ,1980年04期
- 【被引频次】2
- 【下载频次】367