刘昊迪,李宇轩,衣学喜

• 1:东北师范大学量子科学中心

摘要(Abstract)：

引力的引入使量子系统具有了许多奇异的性质，无引力时给出不确定度关系下限的状态在引力的扰动下可能发生变化。利用简单的物理系统(如一维无限深势阱和一维谐振子)对这些奇异性质进行研究，可以拓展我们对量子力学的理解，体会引力带来的物理效应。本文将广义不确定性关系引入一维无限深势阱和一维谐振子，将引力看作一个微扰势场，计算微扰下系统能量本征值和本征态发生的变化，展示引力引起的奇异效应。结果表明，在考虑引力的影响后，一级近似下能量本征值没有发生变化，但能量的本征态发生了改变。我们还计算了引力对位力定理的修正，得出了引力修正给位力定理带来的影响。

关键词(KeyWords)： 不确定度关系;引力修正;一维无限深势阱;一维谐振子;位力定理

Abstract:

Keywords:

基金项目(Foundation): 吉林省高等教育教学改革研究课题(20224BRZTUD001Y和20213F2T8UF001V)资助

作者(Author): 刘昊迪,李宇轩,衣学喜

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