qtcad.transport.wkb module

Calculate tunneling coefficient using WKB formula.

qtcad.transport.wkb.transmission(x, V, E, m)

Calculate the transmission coefficient through a potential barrier using the WKB formula.

Automatically detects the turning points.

Parameters
  • x (1D array) – positions across the barrier.

  • V (1D array) – potential energy

  • E (float) – energy at which transmission is calculated

  • m (float) – effective mass to use for the particle undergoing tunneling

Returns

float – The tunneling transmission coefficient.

Note

The input potential profile must have only two turning points for the chosen energy.