QNT-00 · laboratory
Schrödinger, de Broglie, photoelectric, Bohr, Heisenberg, tunneling and spin.
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26 governing sheets
En = n² π² ħ² /(2 m L²), n = 1, 2, …
Bound statesλ = h / p = h / (m v).
Wave–particleKmax = h f − φ.
Photonsa0 = 4π ε0 ħ² /(m e²) ≈ 0.0529 nm.
HydrogenΔx Δp ≥ ħ/2; given Δx, the bound on Δp.
UncertaintyT ≈ exp(−2 κ L), κ = √(2m(V−E))/ħ.
TunnelingEn = ħ ω (n + ½).
OscillatorE = h f = h c / λ.
PhotonsEn = −13.6 Z² / n² eV.
HydrogenE = (π² ħ² / 2m) (nx²/Lx² + ny²/Ly² + nz²/Lz²).
Bound statesΔλ = λc (1 − cos θ), λc = h /(me c).
Photonsμ = −g μB S/ħ with g ≈ 2, μB = e ħ /(2 me).
SpinHydrogen series line.
GoverningFree-electron Compton.
GoverningMinimum momentum smear.
Governing1-D Fermi gas snapshot.
GoverningBlackbody peak wavelength.
GoverningHemispheric exitance.
GoverningWKB-like opacity.
GoverningSpin magnetic moment in Bohr magnetons.
GoverningQuantum harmonic oscillator.
GoverningOrbital Zeeman unit.
GoverningE = h f = ħ ω. A quantum of an oscillator of frequency f.
QuantaKmax = hf − φ. Light above the work function frees electrons.
QuantaEn = n² π² ħ² / (2 m L²). Standing waves on a length L.
Quantaλ = h / p. Matter waves for a momentum p.
Quanta