标题： 罗森-莫尔斯势和引力孤子波 显示英文标题

标题： Rosen-Morse potential and gravitating kinks

摘要： 我们证明，在一种特殊的二维稀疏-引力-标量模型中，其中稀疏场和标量物质场都具有非规范的动能项，可以构造出其线性扰动方程为带有Rosen-Morse势的薛定谔方程的kink解。 对于这种势，如果存在束缚态，其本征值和波函数可以通过使用标准的形状不变性过程来推导。 根据参数的值，稳定性势可以是反射性的或无反射的。 可以有任意数量的形状模式，但零模式总是不存在的。 显示英文摘要

摘要： We show that in a special type of two-dimensional dilaton-gravity-scalar model, where both the dilaton and the scalar matter fields have noncanonical kinetic terms, it is possible to construct kink solutions whose linear perturbation equation is a Schr\"odinger-like equation with Rosen-Morse potential. For this potential, eigenvalues and wave functions of the bound states, if had any, can be derived by using the standard shape invariance procedure. Depending on the values of the parameters, the stability potential can be reflective or reflectionless. There can be an arbitrary number of shape modes, but the zero mode is always absent.