gharib85/quantumlab

This project contains two numerical simulations of the hydrogen atom wave function H1s (the first wave function of it). Also, it includes a paper which describes the general simulation for any wave function of the hydrogen atom using the Monte Carlo Integration method.

QuantumLab

This project consists of five elements:

• QLab app (Source code folder)
• Numerical Simulation of the Probability Distribution in a Wave Function.pdf
• NSPDWF - Presentation.pdf
• Python Installation Manual - With Libraries.pdf
• QLab App - Use Manual.pdf

The paper (Numerical Simulation of the Probability Distribution in a Wave Function.pdf) and implementation (QLab app) describes the use of Monte Carlo's Integration method and a Composite Quadrature Rule (also a integration method) to numerically simulate the behavior of the probability distribution in the Wave Function H1s of the Hydrogen atom. The paper also mentions and develops the general integration of the probability distribution in a general wave function.

The document 'NSPDWF - Presentation.pdf' is a beamer like presentation which as all the .pdf files in this repository was written in LaTeX.

This project is licensed with MIT License, comply with the Digital Millennium Copyright Act: 17 U.S.C. §§ 101, 104, 104A, 108, 132, 114, 117, 701

Remember to include the MIT Licence and the original creator of this project (all them if derived subsequent times).

Monte Carlo Integral of H1s

Quadrature Rule of H1s