Efficient simulation of Schrödinger equation with piecewise constant positive potential
This work provides a novel simulation method for a specific class of Schrödinger equations, but its impact is limited to the domain of computational quantum mechanics.
The paper introduces a new method (killing walk on spheres algorithm) for simulating weak solutions of the Schrödinger equation with piecewise constant positive potential, combining the walk on spheres algorithm with killing determined by panharmonic measures.
In this paper we introduce a new method for the simulation of a weak solution of the Schrödinger-type equation where the potential is piecewise constant and positive. The method, called killing walk on spheres algorithm, combines the classical walk of spheres algorithm with killing that can be determined by using panharmonic measures.