Harmonic Oscillator Ladder
Every rung adds exactly ħω — and σₓ·σₚ rises by exactly ħ per step from the Robertson floor.
Level n
0
Squeeze r (n=0 only)
0.00
Energy Ladder + ψₙ(x)
E =
0.5
ħω | nodes in ψₙ:
0
Robertson Plane σₓ vs σₚ (units: x₀, ħ/x₀)
σₓ·σₚ =
0.500
ħ | Robertson floor = 0.500 ħ