Barrier transmission for the one-dimensional nonlinear Schrödinger equation: Resonances and transmission profiles
Barrier transmission for the one-dimensional nonlinear Schrödinger equation: Resonances and transmission profiles
The stationary nonlinear Schr\"odinger equation (or Gross-Pitaevskii equation) for one-dimensional potential scattering is studied. The nonlinear transmission function shows a distorted profile, which differs from the Lorentzian one found in the linear case. This nonlinear profile function is analyzed and related to Siegert-type complex resonances. It is shown that the …