论文标题
非线性$δ$ -Type质量概况系统的量子可溶性：耦合常数量化
Quantum solvability of a nonlinear $δ$-type mass profile system: Coupling constant quantization
论文作者
论文摘要
在本文中，我们讨论了非线性系统的量子动力学，该系统在经典层面上接受了时间局部的解决方案。我们考虑了一般有序的位置依赖性质量汉密尔顿，其中质量项的有序参数被视为任意。这里的质量函数在原点是单数。我们观察到量子系统允许有限的解决方案，但重要的是，该系统的耦合参数被量化，这也已通过半经典研究证实。
In this paper, we discuss the quantum dynamics of a nonlinear system that admits temporally localized solutions at the classical level. We consider a general ordered position-dependent mass Hamiltonian in which the ordering parameters of the mass term are treated as arbitrary. The mass function here is singular at the origin. We observe that the quantum system admits bounded solutions but importantly the coupling parameter of the system gets quantized which has also been confirmed by the semiclassical study as well.
