It is shown that, if the energy in the Schwarzian mechanics ($\mathbb{SM}$) is equal to the coupling constant in the de Alfaro-Fubini-Furlan ($\mathfrak{d}\mathbb{AFF}$) model, there exists a link between these two systems. In particular, the equation of motion, $sl(2,\mathbb{R})$-symmetry transformations and the corresponding conserved charges of $\mathbb{SM}$ can be derived from those of $\mathfrak{d}\mathbb{AFF}$ model by applying a coordinate transformation of a special type, while the general solution of $\mathfrak{d}\mathbb{AFF}$ system maps to the velocity function of $\mathbb{SM}$. It is also demonstrated that the Hamiltonian of $\mathbb{SM}$ can be obtained from the Hamiltonian of $\mathfrak{d}\mathbb{AFF}$ model by applying coupling-constant metamorphosis and the oxidation procedure.

结果表明，如果 Schwarzian 力学中的能量 ($\mathbb{SM}$) 等于 de Alfaro-Fubini-Furlan ($\mathfrak{d}\mathbb{AFF}$) 模型，这两个系统之间存在联系。特别是运动方程，$秒升(2,\mathbb{电阻})$-对称变换和相应的守恒电荷 $\mathbb{SM}$ 可以从那些 $\mathfrak{d}\mathbb{AFF}$ 模型通过应用特殊类型的坐标变换，而通用解 $\mathfrak{d}\mathbb{AFF}$ 系统映射到速度函数 $\mathbb{SM}$. 还证明了哈密顿量$\mathbb{SM}$ 可以从哈密顿量获得 $\mathfrak{d}\mathbb{AFF}$ 模型通过应用耦合常数变态和氧化过程。