Compact schemes for laser-matter interaction in Schrödinger equation
This provides an efficient numerical method for simulating laser-matter interactions, benefiting researchers in theoretical chemistry, quantum physics, and condensed matter physics.
The paper introduces a methodology to extend any fourth-order scheme for the Schrödinger equation with time-independent potential to a fourth-order method for the equation with laser potential, achieving lower costs and smaller error constants than many sixth-order schemes.
Numerical solutions for laser-matter interaction in Schrödinger equation has many applications in theoretical chemistry, quantum physics and condensed matter physics. In this paper we introduce a methodology which allows, with a small cost, to extend any fourth-order scheme for Schrödinger equation with time-indepedent potential to a fourth-order method for Schrödinger equation with laser potential. These fourth-order methods improve upon many leading schemes of order six due to their low costs and small error constants.