SchrodingerEq_1D_tutorial

Solving Schrodinger Equation Numerically in Python

Files

• SchrodingerEq_1D_tutorial.ipynb A tutorial of solving 1-D Schrodinger equation. (Simple-Harmonic-Oscillator)
• step_potential/step_potential.py A script to generate the animation that shows a wave-packet scattered by a step-potential.
• step_potential_cpp/step_potential_rk4.cpp The C++ source code for simulating a wave-packet scattered by a step-potential.
• step_potential_cpp/plot.py A script to generate the animation from the result of step_potential_rk4.

Environment (macOS, suggested)

1. Install MacPort
2. Install ffmpeg (for MP4)

sudo port install ffmpeg +gpl +postproc +lame +theora +libogg +vorbis +xvid +x264 +a52 +faac +faad +dts +nonfree

3. Install Miniconda
4. Install Python packages

conda install numpy scipy matplotlib jupyter ipython imagemagick

5. conda activate
6. jupyter-notebook

Environment for C++ version (macOS, suggested)

1. Install Eigen

# macOS
sudo port install eigen3

# Ubuntu
sudo apt install libeigen3-dev

2. Modify step_potential_cpp/Makefile with proper path to your Eigen installation.
3. Compile

cd step_potential_cpp
make

3. Run and generate plots(animations)

cd step_potential_cpp
./step_potential_rk4
conda activate
./plot.py