Work

Multiresolution of the one dimensional free-particle propagator. Part 1: Construction

Year: 2024

Type: article

Abstract: The free-particle propagator, a key operator in various algorithms for simulating the time evolution of the Schrödinger equation, is studied. A multiscale approximation of this propagator is constructed, representing the semigroup associated with the free-particle Schrödinger operator in a multiwavelet basis. This representation involves integrals of highly oscillatory functions. These integrals are efficiently discretized using a contour deformation technique, which addresses the challenges posed by earlier discretization methods.

Source: Computer Physics Communications

DOI: 10.1016/j.cpc.2024.109436

Authors: Evgueni Dinvay, Yuliya Zabelina, Luca Frediani

Institution: UiT The Arctic University of Norway

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,410

Funder: Norges Forskningsråd