Solving the quantum nonlinear Schrödinger equation with δ-type impurity
Solving the quantum nonlinear Schrödinger equation with δ-type impurity
We establish the exact solution of the nonlinear Schrödinger equation with a delta-function impurity, representing a pointlike defect which reflects and transmits. We solve the problem both at the classical and the second quantized levels. In the quantum case the Zamolodchikov–Faddeev algebra, familiar from the case without impurities, is substituted …