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Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities

G. Kaniadakis·A. M. Scarfone
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Abstract

We consider a wide class of nonlinear canonical quantum systems described by a one-particle Schroedinger equation containing a complex nonlinearity. We introduce a nonlinear unitary transformation which permits us to linearize the continuity equation. In this way we are able to obtain a new quantum system obeying to a nonlinear Schroedinger equation with a real nonlinearity. As an application of this theory we consider a few already studied Schroedinger equations as that containing the nonlinearity introduced by the exclusion-inclusion principle, the Doebner-Goldin equation and others. PACS numbers: 03.65.-w, 11.15.-q

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G. Kaniadakis, A. M. Scarfone. 2002-09-11. Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities. https://doi.org/10.1016/s0034-4877(01)80014-8

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