Delta potential

The delta potential is a mathematical model used in quantum physics to represent an extremely localized interaction, like a tiny point of force or energy, with no size but a finite effect. Imagine a very narrow, infinitely tall spike at a single point that affects particles passing through. It helps physicists analyze how particles, such as electrons, behave when they encounter very small or sharply defined forces, allowing for simplified calculations of quantum phenomena like scattering and bound states. Despite its idealized nature, the delta potential captures essential features of localized interactions in quantum systems.