Very-high-precision normalized eigenfunctions for a class of Schr\"odinger type equations

TL;DR

This paper introduces an efficient algorithm for computing normalized eigenfunctions of certain Schrödinger equations with linear scaling in precision, enabling highly accurate quantum wave function calculations.

Contribution

The authors present a novel linear-scaling algorithm for calculating normalized eigenfunctions of Schrödinger-type equations with very high precision.

Findings

Algorithm scales linearly with the number of eigenfunction evaluations

Achieves very high precision in wave function normalization

Applicable to a specific class of Schrödinger equations

Abstract

We demonstrate that it is possible to compute wave function normalization constants for a class of Schr\"odinger type equations by an algorithm which scales linearly (in the number of eigenfunction evaluations) with the desired precision P in decimals.