利用本征值关系研究非对易算符的量子等价：PT-对称性
Some studies on quantum equivalents of non-commutative operators via commutating eigenvalue relation: PT-symmetry
摘要：
我们研究量子力学中非对易算符的量子等价。满足与“$A$“的非交换关系$[A,B]\neq 0$的任何矩阵“$B$“可经由$B^{-1} AB$用于再现“$A$“的特征值。这种普适关系对于物理学或社会科学的任何分支中的任何矩阵，以及涉及坐标$(x)$或动量$(p)$的任何算子，也同样有效。这在图1中图示。许多有趣的模型，包括对数势已被考虑。
英文摘要：
We study quantum equivalents of non-commutative operators in quantum mechanics. Any matrix "$B$" satisfying the non-commuting relation $[A,B]\neq 0$ with "$A$", can be used via $B^{-1} AB$ to reproduce eigenvalues of "$A$". This universality relation is also equally valid for any matrix in any branch of physical or social science and also any operator involving co-ordinate$(x)$ or momentum$(p)$. Pictorially this is represented in fig. 1. Many interesting models including logarithmic potential have been considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
