中文摘要：

我们学习有位置依赖者团和潜力在一个更一般的框架工作取决于质量的表格的概括泛音振荡器。为如此的一个系统的特征值和特徵函数的明确的表情被给，他们与经常的质量为平常的泛音振荡器有象那些的一样的表格。为有 PDM 的系统的协调状态和它的性质也被讨论。我们为几个集体函数给相应有效潜力，有如此的潜力的系统是到平常的泛音振荡器的 isospectral。

英文摘要：

We study the generalized harmonic oscillator that has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such a system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and its properties corresponding effective potentials for several mass functions, for the system with PDM are also discussed. We give the the systems with such potentials are isospectral to the usual harmonic oscillator.