Hydrogen Orbital Ladder

Ideal protium · reduced-mass Coulomb Hamiltonian · selected circular components · finite coherent preparation. The displayed field is a computed state read and probability current, not an electron trajectory or emitted light.

Read prepare 3d · mₗ=+2 prepare 4f · mₗ=+3 Ray-return position 0.000 / 108 beats

¹H · 1e⁻ · 1s · mₗ=0 + 2p · mₗ=+1 + 3d · mₗ=+2 + 4f · mₗ=+3 ⟨E⟩ −4.840 eV energy spread σE 5.143 eV ray return 108 × T₂₁ · 43.79 fs fixed-zero representative return 108 × T₂₁

mean −E_H 0 eV

¹H · Z=1 · one electron · fixed reduced-mass Coulomb eigenvalues · selected circular components · one ray return shown over 24 s