Adaptive Time Propagation for Time-dependent Schrödinger equations
Adaptive Time Propagation for Time-dependent Schrödinger equations
Abstract We compare adaptive time integrators for the numerical solution of linear Schrödinger equations where the Hamiltonian explicitly depends on time. The approximation methods considered are splitting methods, where the time variable is split off and advanced separately, and commutator-free Magnus-type methods. The time-steps are chosen adaptively based on asymptotically …