Disciplines
Artificial Intelligence and Robotics | Numerical Analysis and Computation | Numerical Analysis and Scientific Computing | Partial Differential Equations | Quantum Physics
Document Type
Article
DOI
https://doi.org/10.25778/9dd7-vn32
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.
Recommended Citation
Giang, Vu and Gnech, Alex
(2024)
"An Introduction to the Time-Independent Schrödinger Equation and Methods to Solve it,"
OUR Journal: ODU Undergraduate Research Journal: Vol. 11, Article 3.
DOI: https://doi.org/10.25778/9dd7-vn32
Available at:
https://digitalcommons.odu.edu/ourj/vol11/iss1/3
Included in
Artificial Intelligence and Robotics Commons, Numerical Analysis and Computation Commons, Numerical Analysis and Scientific Computing Commons, Partial Differential Equations Commons, Quantum Physics Commons
