Work

Multiresolution of the one dimensional free-particle propagator. Part 2: Implementation

Year: 2024

Type: article

Abstract: A novel method to integrate the time-dependent Schrödinger equation within the framework of multiresolution analysis is presented. The method is based on symplectic splitting algorithms to separate the kinetic and potential parts of the corresponding propagator. The semigroup associated with the free-particle Schrödinger operator is represented in a multiwavelet basis. The propagator is effectively discretised with a contour deformation technique, which overcomes the challenges presented by previous discretisation methods. The discretised operator is then employed in simple numerical simulations to test the validity of the implementation and to benchmark its precision.

Source: Computer Physics Communications

DOI: 10.1016/j.cpc.2024.109438

Author: Evgueni Dinvay

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

Funders: Universitetet i Tromsø, Norges Forskningsråd