Original Labview Code for the Hydrogen Radial Equation

The goal of the project was to write original atomic structure code for Hydrogen's Radial Equation using LabView that would be able to compute the electronic parameters for atoms such as energies, wave-functions, and transition probabilities. This project was chosen since deriving the equation of the Hydrogen atom is so complex and only an overview of it was given during the undergraduate Physics courses at BSU. I compared the code to the results from Griffiths Quantum Mechanics Textbook to ensure accuracy. Encoding the exponential and constant portions of the equation relatively simple. The difficulty arose when I attempted to encode the Associated Laguerre Polynomials (ALPs). The ALPs required that I determine a recursion relationship based on user input of the initial quantum numbers instead of using fixed tables. After verifying the recursion relation with known results, I worked on how to combine it successfully with the existing code I had already written under the guidance of Dr. Deveney. This code allows the user to successfully input different initial quantum numbers and display the full radial probabilities and energies.