论文标题
关于量子波函数和最佳运输的空闲时间演变的注释
A note on free time evolution of the quantum wave function and optimal transportation
论文作者
论文摘要
结果表明,在没有节点的情况下,在规律性的假设下,在自由施罗丁格方程的有限时间间隔内解决了一个最小化问题,这是对经典最佳运输问题的随机概括,具有二次成本。
It is shown that, in the absence of nodes and under regularity assumptions, a solution in a finite interval of time of the free Schroedinger equation solves a minimization problem which is a stochastic generalization of the classical optimal transportation problem with quadratic cost.