Quantum Probability Explorer: An Interactive Simulation for Visualizing Eigenstates, Superposition, and Particle Probabilities in an Infinite Potential Well

The wave function is a fundamental concept in quantum mechanics, but its abstract nature makes it difficult for students to understand its behavior. Furthermore, it is the probabilistic nature of particles that makes direct observation of quantum wave dynamics impossible. Therefore, this research investigates the eigenstates, superposition, and the time-dependent probability density of a particle within an infinite potential well through theoretical analysis and computational visualization based on Streamlit. The research method combines analysis with mathematical calculations to obtain the eigenstates, calculate |Ψ|², the expected position value, and the phase evolution of the superposition state. The visualizations illustrate the relationship between the wave function and quantum numbers, as well as interference patterns and time-dependent behavior. The visualization results show how the method represents theoretical concepts related to the probabilistic nature of particles. This research shows that theoretical analysis combined with interactive visualization provides an interactive representation that may facilitate students’ understanding of quantum mechanics concepts, a potential that still requires empirical validation through classroom-based studies. Unlike existing closed-source quantum applets, the Quantum Probability Explorer is fully open-source and directly couples the analytical solution of the Schrödinger equation with real-time interactive visualization of eigenstates and superposition, which constitutes the novelty of this study.