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An Introduction to the Time-Independent Schrödinger Equation and Methods to Solve it

Year: 2024

Type: article

Abstract: The Time-Independent Schrödinger Equation is a linear elliptic PDE that describes quantum-mechanical systems. Its significance in the science of submicroscopic phenomena, particularly quantum mechanics, is as central as Newton’s laws of motion are to classical mechanics. This study uses various methods, including novel neural networks and finite difference schemes, to solve the one-dimensional two-body equation.

Source: ODU Digital Commons (Old Dominion University)

DOI: 10.25778/9dd7-vn32

Authors: Giang, Vu, Gnech, Alex

Institution: Old Dominion University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6927103178

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