Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions

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Simulating the Schrödinger wave equation using the Crank-Nicolson method in 2+1 dimensions

Gitea repo

GitHub repo

Documentation

Double slit animation

# Requirements

## Operating systems

- Linux
  - Has been tested on Fedora 38
  - Will most likely work on other Linux distributions
- macOS
  - Will most likely not work due to the use of getopt, which is GNU specific.
- Windows
  - Will most likely not work

## Libraries

- Python
  - matplotlib
  - numpy
  - seaborn
- C++
  - Armadillo

# Compiling

The commands shown here should be run from the root of this project.

## Normal binaries

Compiling regular binaries is as easy as running this command:

make

The binaries will then be inside the bin directory.

## Debugging binaries

If you want to debug the code, then use this command:

make debug

The binaries will then be inside the debug directory.

# Running programs

## C++ binaries

To run any of the programs, just use the following command:

./<bin|debug>/<program-name> <args>

For the wave_simulation program, you can use a file where each line contains a configuration for the WaveSimulation class and what to output to a file. This different values should be separated by semicolons. Here is the order of what variables should be in one line:

    h; dt; T; x_c; y_c; sigma_x; sigma_y; p_x; p_y; <thickness; pos_x; ap_sep; ap; slits>; <write_each step || the steps to write to file>

where <> is optional.

An example of a file can be found under the args directory.

## Python scripts

### Install libraries

Before running the scripts, make sure that all libraries are installed. Using pip, you can install all requirements like this:

pip install -r requirements.txt

This recursively install all the packages that are listed in requirements.txt.

### Running scripts

For the Python scripts, run them from the root of the project:

python python_scripts/<script-name>

If you have any problems running the scripts, you might have to run this instead:

python3 python_scripts/<script-name>

# Credits

The Doxygen theme used here is doxygen-awesome-css.