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A Real-Time Interactive Simulation Framework for Quantum Mechanics and Cosmic Ray Modeling

This open-source project provides a real-time computational physics simulation platform designed to model and visualize complex phenomena in quantum mechanics and astroparticle physics. The framework supports live experimentation, data visualization, and interactive parameter manipulation — making advanced physical systems accessible for education and scientific exploration.


🔬 Overview

Modern physics topics such as quantum behavior or cosmic ray interactions are abstract and non-intuitive. Traditional teaching approaches often fail to build conceptual understanding.

This project addresses that gap by providing:

  • Real-time numerical simulation
  • A graphical user interface (PyQt5)
  • Computational physics models (Taichi + NumPy)
  • Data visualization tools (Matplotlib)

🧠 Features

  • 🌀 Quantum state evolution using the time-dependent Schrödinger equation
  • 🧲 Magnetic interaction modeling via the Zeeman effect
  • ☢️ Cosmic ray energy spectrum modeled using a validated power-law distribution
  • 📊 Real-time scientific visualization
  • 🖥️ GUI-based control environment

📚 Scientific Background

Quantum Mechanics Module

The simulation is based on the time-dependent Schrödinger equation:

[ i\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi ]

Where the Hamiltonian is defined as:

[ \hat{H} = -\frac{\hbar^2}{2m}\nabla^2 + V(r) + \mu \cdot B ]

The system supports ground states, excited states, superpositions, and spin-field interactions.


Cosmic Ray Simulation Module

Cosmic ray behavior is modeled using an experimentally verified power-law spectrum:

[ \frac{dN}{dE} \propto E^{-\gamma}, \quad \gamma = 2.7 ]

Detection follows a Poisson statistical framework to simulate event time distributions.


🧪 Running the Project

1. Clone the repository

git clone https://github.com/YOUR_USERNAME/Interactive-Physics-Simulation.git
cd Interactive-Physics-Simulation

About

Real-time interactive simulation framework for quantum mechanics (Schrödinger equation, Zeeman effect) and cosmic ray modeling (power-law spectrum). Built with Python, PyQt5, Taichi, and NumPy.

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