论文标题
通勤操作员在量子可促进系统中的作用
The Role of Commuting Operators in Quantum Superintegrable Systems
论文作者
论文摘要
我们讨论了通勤操作员在量子可促进系统中的作用，展示了它们是如何用于构建本征函数的。这些想法在共振的谐波振荡器，Krall-Shefter操作员，具有多项式本本功能和具有额外谐波潜力的Calogero-Moser系统的背景下进行了说明。构建纯粹是代数，避免了变量分离和微分方程理论的使用。
We discuss the role of commuting operators for quantum superintegrable systems, showing how they are used to build eigenfunctions. These ideas are illustrated in the context of resonant harmonic oscillators, the Krall-Sheffer operators, with polynomial eigenfunctions, and the Calogero-Moser system with additional harmonic potential. The construction is purely algebraic, avoiding the use of separation of variables and differential equation theory.
