Potentials#

Bound states and scattering in 1D potential wells, and 2D quantum boxes: the matrix Numerov solver applied to asymmetric wells, the gravitational “quantum bouncer”, the symmetric double well (including an animated, complex-valued tunneling oscillation), the finite square well (bound states, resonant transmission, and real-time animated wavepacket scattering/tunneling), and rectangular/circular/stadium 2D boxes.

2D quantum boxes

2D quantum boxes

Real-time barrier tunneling

Real-time barrier tunneling

Bound states via the matrix Numerov solver

Bound states via the matrix Numerov solver

Double-well tunneling

Double-well tunneling

The Ramsauer-Townsend effect

The Ramsauer-Townsend effect