Quantum Physics
Summary

Photoelectric Effect

hf = φ + KE_max
KE_max = hf - φ
φ = hf₀ (work function)
f₀ = φ/h (threshold frequency)

Bohr Model

E_n = -13.6/n² eV (hydrogen)
r_n = n²a₀ (orbital radius)
a₀ = 0.0529 nm (Bohr radius)

1/λ = R(1/n_f² - 1/n_i²)
R = 1.097 × 10⁷ m⁻¹ (Rydberg)

Schrodinger Equation

iℏ ∂Ψ/∂t = ĤΨ
Ĥ = -ℏ²/(2m) ∇² + V

ĤΨ = EΨ
-ℏ²/(2m) d²ψ/dx² + Vψ = Eψ

Uncertainty Principle

ΔxΔp ≥ ℏ/2
ΔEΔt ≥ ℏ/2

Position-momentum and energy-time uncertainties.

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