Finite Potential Well
A quantum potential well model with barriers of finite energy height V₀.
Governing formula
V(x) = V₀ for |x| > a, V(x) = 0 for |x| ≤ a
SI unit
eV or Joules
In depth
Unlike the infinite box model, the finite well supports a finite number of bound states (E < V₀). Particle wave functions decay exponentially inside the barrier walls rather than dropping abruptly to zero, permitting quantum tunneling.
Examples in the real world
Semiconductor quantum well lasers trapping electrons and holes in ultrathin gallium arsenide layers.