Subject 25 · Quantum

Quantum

Start where classical physics broke — light arriving in packets — then follow the logic outward: matter that diffracts, wave functions that only promise probabilities, an atom with a ladder inside, and a nucleus sized by scattering and quantised like the atom above it. Every subsection includes a responsive interactive model.

PHOTONhfQUANTA

E(max) = hf − φThe Photoelectric Effect

Photons E = hf, the work function fee, and why intensity can never beat frequency.

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λ = h/pMatter Waves

De Broglie’s λ = h/p, electrons diffracting off crystals, and the electron microscope.

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ΔxΔp ≥ h/4πWave Functions & Uncertainty

Probability from |ψ|², Heisenberg’s trade-offs, and particles tunnelling through walls.

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E(n) = −13.6/n² eVThe Bohr Model & Energy Quantisation

Quantised angular momentum, the −13.6/n² ladder, and hydrogen’s spectral barcode.

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R = R₀A^(1/3)The Quantum Nucleus

Closest approach, R = R₀A^(1/3), constant nuclear density, and the neutrino’s debut.

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dN/dt = −λNQuantum Calculus

The photoelectric line, solving dN/dt = −λN, Coulomb work integrals, and ∫x|ψ|²dx.

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Free game · E(max) = hf − φPhoton Foundry

Play free, no account needed: tune the light, beat the work function, eject the electrons. Slide the beam from infrared to ultraviolet, pay each metal’s work function, and land photoelectrons in the collector gates — sub-threshold light does nothing at any brightness, and that is the whole lesson. Five metals.

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Members · classroom mode, full screenPresent this chapter

Pick any Quantum lesson and project it. Each deck is built from that lesson’s own words — the big idea, the definition, one formula at a time, the misconception, the quick check, and the worked examples — revealed a step at a time with the arrow keys.

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