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EIGENVALUES AND EIGENFUNCTIONS IN QUANTUM SYSTEMS
#QuantumPhysics #EasyScience

In quantum physics, we often ask—how can we describe particles like electrons inside atoms?

That’s where eigenvalues and eigenfunctions come in.

An eigenfunction is a special wave pattern that doesn’t change its shape when we apply a certain operator, like energy or momentum.

The eigenvalue is the number we get that tells us the result of that measurement—like the allowed energy level of the particle.

Think of a guitar string: when you pluck it, only certain notes are possible, not every sound.

In the same way, quantum systems allow only certain values for energy, momentum, or position.

This is why atoms have fixed energy levels and why light comes out in specific colors.

Without eigenvalues and eigenfunctions, we couldn’t predict or understand how quantum particles behave.

They are the key to unlocking the strange but beautiful rules of the quantum world.

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