Erwin Schrödinger's equation iℏ ∂ψ/∂t = Ĥψ governs how quantum states evolve. ψ is the wavefunction — not a physical wave in space, but a probability amplitude.
What ψ means
|ψ|² gives the probability of finding a particle at a location. Until measurement, quantum systems exist in superpositions — not definite positions.
Why it matters
Solving Schrödinger's equation for atoms explains chemical bonding, semiconductor band gaps, lasers, and MRI. Every transistor in your phone is quantum mechanics engineered with this equation.
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