initial-value problem

Efficient Computation of the Semiclassical Limit of the Schrödinger Equation

Giovanni Russo, Full Professor of Numerical Analysis, Department of Mathematics and Computer Science, University of Catania (UNICT)

Oct 26, 15:00 - 16:00

B1 R3426

Schrödinger equation numerical analysis Gaussian Wave Packet initial-value problem Hagedorn wave packets

This talk presents the Gaussian Wave Packet Transform, an efficient numerical framework for solving the semiclassical Schrödinger equation that reduces spatial and temporal stiffness, enables accurate simulation of highly oscillatory quantum dynamics in multiple dimensions, and supports efficient computation using Gaussian and Hagedorn wave packet representations.