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Schrödinger equation

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Visualizations showing where electrons are likely to be found around a hydrogen atom at different energy levels.

The Schrödinger Equation

The Schrödinger equation is a special math rule that helps us learn about tiny parts of nature, like atoms and electrons. It was made by a smart scientist named Erwin Schrödinger from Austria in 1925. He shared his idea in 1926, and it became very important in science. For his work, he won a big prize called the Nobel Prize in Physics in 1933.

You can think of the Schrödinger equation like the tiny version of rules made by Isaac Newton. Just like Newton’s rules can guess how things will move, the Schrödinger equation can guess how tiny parts will change. It helps us understand how very small things move and change over time.

The equation works with something called a "wave function." This tells us where a tiny piece might be and how it moves. To use the equation, scientists need to know about the tiny piece’s mass and the energy around it, like how high up it is or what forces are on it.

Erwin Schrödinger was inspired by another scientist named Louis de Broglie. Louis suggested that tiny particles act like waves. This idea helped explain why atoms stay together, just like scientists saw in tests. The Schrödinger equation is one way to understand quantum mechanics, which is the study of very small particles. Other ways include ideas from Werner Heisenberg and Richard Feynman.

The Schrödinger equation is very useful for learning about the quantum world. It helps scientists predict where tiny particles might be found and how they will act over time.

Images

An animation showing different quantum wave functions and probability patterns for a harmonic oscillator, helping to visualize principles of quantum physics.
Animation showing how particles behave in both classical and quantum physics models, using colorful wave patterns to represent different energy states.
Portrait of physicist Erwin Schrödinger from 1933.

This article is a child-friendly adaptation of the Wikipedia article on Schrödinger equation, available under CC BY-SA 4.0.

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