报告题目：Various Variational Approximations of Quantum Dynamics

报告时间：2022-07-19  10:00 - 11:30

报告人：苏春梅 助理教授  清华大学丘成桐数学科学中心

腾讯会议ID：345 773 4983

Abstract: We investigate variational principles for the approximation of quantum dynamics that apply for approximation manifolds that do not have complex linear tangent spaces. The first one, dating back to McLachlan (1964) minimizes the residuum of the time-dependent Schrödinger equation, while the second one, originating from the lecture notes of Kramer–Saraceno (1981), imposes the stationarity of an action functional. We characterize both principles in terms of metric and a symplectic orthogonality conditions, consider their conservation properties, and derive an elementary a-posteriori error estimate. As an application, we revisit the time-dependent Hartree approximation and frozen Gaussian wave packets.