Schrödinger Equation Simulation

This is a Rust crate named schroidnger_equation that simulates the evolution of a quantum wave function based on the Schrödinger equation. The crate contains a WaveFunction struct that represents a quantum state. This struct includes properties for the wave function itself (psi), its first and second derivatives (psi_prime and psi_prime_prime), the energy of the system (energy), the potential energy function (potential), the position (x), the change in position (dx), the mass of the particle (mass), and the spring constant for the harmonic oscillator potential (k).

Features

• WaveFunction struct: Represents a quantum state and includes properties for various physical parameters and wave function derivatives.
• new() function: Creates a new WaveFunction with given initial values.
• potential_energy() function: Calculates the potential energy based on the harmonic oscillator potential.
• update() function: Updates the WaveFunction based on the Schrödinger equation.

Usage

Add schroidnger_equation as a dependency in your Cargo.toml:

[dependencies]
schroidnger_equation = "0.1.0"

Then import WaveFunction in your Rust file:

use schroidnger_equation::WaveFunction;

Create a new WaveFunction and update it as needed:

let mut wave_fn = WaveFunction::new(0.0, 1.0, 0.0, 0.0, 0.0, 0.01, 1.0, 0.0);
wave_fn.update();

License

This project is licensed under the MIT License.

Contributing

Contributions are welcome! Please feel free to submit a pull request.

Support

For any questions or issues, please submit a GitHub issue.