**Quantum Mechanics and Computational Materials Science**¶

## Section 1: **Quantum Mechanics**¶

- Numerical Solution of the Schrödinger Equation for 1D Quantum Well
- Numerical Solution of the Schrödinger Equation for the Double Square Well Potential
- Avoided Crossing in 1D Asymmetric Quantum Well
- Shooting Method with Numerov Algorithm to Solve the Time Independent Schrödinger Equation for 1D Quantum Well
- Numerical Solution of 1D Time-Dependent Schrödinger Equation by Split Operator Fourier Transform (SOFT) Method
- Numerical Solution of 1D Time-Dependent Schrödinger Equation For Nuclear Evolution On Multiple Electronic Potential Energy Surfaces Via The Multiple Split Operator Fourier Transform (MSOFT) Method.

## Section 2: **Band Theory of Crystals**¶

## Section 3: **Molecule and Lattice Vibration**¶

## Section 4: **Molecular Dynamics**¶

## Section 5: **Statistical Mechanics**¶

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