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ohno authored Nov 30, 2023
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[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://ohno.github.io/Antiq.jl/stable/)
[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://ohno.github.io/Antiq.jl/dev/)

Please see [here](https://ohno.github.io/Antiq.jl/dev/HydrogenAtom/).
Self-contained, Well-Tested, Well-Documented Functions for Quantum Mechanical Models

## Install

To install this package, run the following code in your Jupyter Notebook:

```julia
using Pkg; Pkg.add(path="https://github.com/ohno/Antiq.jl.git")
```

## Usage

To use this package, run the following code before each use:

```julia
using Antiq
```

The function `antiq(model, parameters...)` returns a module. Each module has `E()`, `ψ(x)` and some other functions.

## Examples

The energy of $1S$ state in hydrogen atom:
```julia
julia> H = antiq(:HydrogenAtom, Z=1)
julia> H.E(n=1)
-0.5
```

The energy of $1S$ state in helium atom:
```
julia> He⁺ = antiq(:HydrogenAtom, Z=2)
julia> He⁺.E(n=1)
-2.0
```

## Supported Models

- [`InfinitePotentialWell`](https://ohno.github.io/Antiq.jl/dev/InfinitePotentialWell/)
- [`HarmonicOscillator`](https://ohno.github.io/Antiq.jl/dev/HarmonicOscillator/)
- [`MorsePotential`](https://ohno.github.io/Antiq.jl/dev/MorsePotential/)
- [`HydrogenAtom`](https://ohno.github.io/Antiq.jl/dev/HydrogenAtom/)

## Future Works

[List of quantum-mechanical systems with analytical solutions](https://en.wikipedia.org/wiki/List_of_quantum-mechanical_systems_with_analytical_solutions)

## Acknowledgment

This package was named by [@KB-satou](https://github.com/KB-satou) and [@ultimatile](https://github.com/ultimatile):

**An**aly**ti**cal soulutions of Schrödinger e**q**uations.

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