Single-step propagators for calculation of time evolution in quantum systems with arbitrary interactions
Journal article, 2016

We propose and develop a general method of numerical calculation of the wave function time evolution in a quantum system which is described by Hamiltonian of an arbitrary dimensionality and with arbitrary interactions. For this, we obtain a general n-order single-step propagator in closed-form, which could be used for the numerical solving of the problem with any prescribed accuracy. We demonstrate the applicability of the proposed approach by considering a quantum problem with non-separable time-dependent Hamiltonian: the propagation of an electron in focused electromagnetic field with vortex electric field component.

Single-step propagators

Quantum physics

Wave function evolution


I. Gonoskov

Umeå University

Mattias Marklund

Chalmers, Physics, Theoretical Physics

Computer Physics Communications

0010-4655 (ISSN)

Vol. 202 211-215


Basic sciences

Subject Categories

Atom and Molecular Physics and Optics

Other Physics Topics



More information

Latest update