Quantum Mechanics + vs Little Quantum App

Numerically solve Schrodinger's Wave Equation with various potentials for bound states and wave packets. Real Quantum Physics - suitable for a theory lab or demonstration in an introductory Quantum Mechanics course. Find bound states for Harmonic Oscillator, Square Well, Ammonia Maser, Hydrogen Atom, and Delta Function Potentials. Follow a wave packet as it hits a Step Barrier, Resonant Potential and Tunnel Barrier. Enter energy values for a bound state and see if the solution converges - real energy values accurate to better than 1%. Observe the Ramsauer-Townsend effect and a wave packet tunnel through a forbidden potential barrier.   Screenshots: 1) Home page with options 2) Harmonic Oscillator with 5 energy levels 3) Bound state potentials 4) Wave packet bouncing off of a step function potential 5) Wave packet potentials 6) Split two levels of an ammonia maser 7) Wave packet incident on a barrier 8) Wave packet after tunneling through barrier - right side amplified by magnifier

What is a qubit? How does superposition work? And what is entanglement good for? In the Little Quantum App, Alice and Bob guide you on an accessible journey through the fascinating world of quantum physics. Step by step, you will explore some of the most important concepts of quantum mechanics and discover how ideas that may initially seem abstract can be understood through clear explanations and visual representations. The app combines short, educational animations with interactive elements that help make complex ideas easier to grasp. As you progress through the topics, animations illustrate how quantum states change and how key phenomena of quantum physics arise. After each section, small quizzes allow you to test and deepen your understanding of what you have learned. This combination of explanation, visualization, and interaction makes learning both engaging and effective. The Little Quantum App is the result of a close collaboration between the MCQST Office (Munich Center for Quantum Science and Technology) and the research group of Prof. Steffen Glaser at the Technical University of Munich. The goal of this collaboration is to make fundamental ideas from modern quantum research accessible to a broad audience and to provide an intuitive introduction to the principles of quantum mechanics. At the heart of the app is a special visualization method that represents quantum states as colored spheres. These visual objects are called “qubit beads” and “entanglement beads.” They are based on a mathematical mapping that allows arbitrary quantum states to be displayed in a visual and intuitive way. By observing how the beads move and change, users can develop a clearer understanding of how quantum states evolve. To further support intuitive learning, the digital representations can be complemented by tangible physical models. These hands-on models make it possible to explore quantum concepts not only visually but also spatially. This combination of digital visualization and physical interaction creates a remarkably simple and engaging approach to quantum mechanics. Through this approach, the Little Quantum App opens the door to quantum physics in a playful yet scientifically accurate way. The underlying mathematical structure ensures that the visual explanations remain faithful to the physics while still being easy to understand. The app invites learners to explore the fundamentals of quantum mechanics and discover the ideas behind one of the most exciting fields of modern science.