Solving the Square Well with a Bump Using Python and NumPy - Eigenvalue Problem

Explore the solution to an infinite square well with a bump potential using Python and NumPy in this 32-minute tutorial. Learn how to apply the finite difference method to create a matrix representation of the Schrödinger equation, then solve the eigenvalue problem to determine energies and eigenvectors. Follow along as the instructor guides you through the process, from setting up constants and building the Hamiltonian to solving the eigenvalue problem and normalizing the results. Gain practical experience in computational quantum mechanics and enhance your Python programming skills for scientific applications.

- Intro
- Finite Difference
- Schrödinger equation as a finite difference
- Building a matrix
- Moving to python
- setting up constants
- Building the Hamiltonian
- Solving the Eigenvalue problem
- Normalization