标题： 多维周期Schrödinger算子的尖锐多项式速度衰减估计 显示英文标题

标题： Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators

摘要： 我们研究在大耦合 regime 下任意维数的周期性薛定谔算子。 我们的结果表明，李-罗宾逊速度和渐近速度在耦合强度下以逆多项式速率衰减，精确指数由底层势的周期决定。 特别是，我们得到了精确捕捉周期结构依赖性的尖锐多项式衰减率。 显示英文摘要

摘要： We investigate periodic Schr\"odinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic velocity decay at an inverse polynomial rate in the coupling, with the precise exponent determined by the period of the underlying potential. In particular, we obtain sharp polynomial decay rates that capture the precise dependence on the periodic structure.