Day 225 · Aug 12

Birthday of Erwin Schrödinger (1887)

Schrödinger gave us the wave equation of quantum mechanics: iℏ ∂ψ/∂t = Ĥψ. His equation, like a wave on a string, describes the probability amplitude ψ. The square |ψ|² is the probability density. He also proposed the famous thought experiment of a cat that is both alive and dead until observed (to illustrate the measurement problem). Schrödinger was a complex character who wrote about biology (What is Life?) and ancient philosophy. His equation is the basis of chemistry, solid‑state physics, and the modern electronics industry.

What is ‘wave‑particle duality’? The Schrödinger equation gives wave‑like behaviour, but measurement gives particle‑like outcomes. How does the equation produce quantised energy levels?

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