NONLINEAR GAUGE TRANSFORMATION FOR A CLASS OF SCHRODINGER EQUATIONS CONTAINING COMPLEX NONLINEARITIES

We consider a wide class of nonlinear canonical quantum systems Adescribed by a one-particle Schrodinger equation containing a complex Anonlinearity. We introduce a nonlinear unitary transformation which Apermits us to linearize the continuity equation. In this way we are Aable to obtain a new quantum system obeying a nonlinear Schrodinger Aequation with a real nonlinearity. As an application of this theory we consider a few already studied Schrodinger equations, such as that Acontaining thenonlinearity introduced by the exclusion-inclusion Aprinciple, the Doebner-Goldin equation and other ones.