Whence the eigenstate–eigenvalue link?

David Wallace has recently argued that the eigenstate–eigenvalue (E–E) link has no place in serious discussions of quantum mechanics on the grounds that, as he claims, the E–E link is an invention of philosophers rather than the community of practicing physicists. This raises an historical question regarding the origin of the link. This paper aims to answer this question by tracing the historical development of the link through six key textbooks of quantum mechanics. In light of the historical evidence from these textbooks, it is argued that Wallace provides insufficient grounds for dismissing the E–E link from discussions of quantum mechanics.     

任意势能量子阱本征值有限元计算方法

本文提出了计算任意势能分布量子阱的有限元方法,该方法从Galerkin(伽辽金)有限元方法出发,采用三级线元作为有限元以及熟知的边界条件,即波函数及其一阶导数除以电子有效质量在边界处连续。通过计算GaAs/AlGaAs方型量子阱本征值证实了该方法的有效性。     

a^k的正交归一本征态的四阶压缩

本文研究了光子消灭算符 a 的任意 k(k≥2)次幂算符 a~k 的正交归一本征态的四阶压缩特性,结果表明,a~2的两个正交归一本征态都可存在四阶压缩,a~4的四个正交归一本征态中只有态|_0>4可存在四阶压缩,而 a~k(k≠2和4)的正交归一本征态都不存在四阶压缩。     

运用形状不变性技术计算Rosen-Morse势的能量本征值

采用形状不变性技术计算了Rosen-Morse势的能量本征值,其能谱公式与采用因子化方法得到的严格解完全一致,而一维修正Poschl-Teller势的能谱公式是Rosen-Morse势的一个特例。所得形状不变性关系式表明:Rosen-Morse势是单参量平移型形状不变势。