dorsal/arxiv
View SchemaNonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities
| Authors | G. Kaniadakis, A. M. Scarfone |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209075 |
| URL | https://arxiv.org/abs/quant-ph/0209075 |
| DOI | 10.1016/S0034-4877(01)80014-8 |
| Journal | Rep. Math. Phys. 46, 113 (2000) |
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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"abstract": "We consider a wide class of nonlinear canonical quantum systems described by\na one-particle Schroedinger equation containing a complex nonlinearity. We\nintroduce a nonlinear unitary transformation which permits us to linearize the\ncontinuity equation. In this way we are able to obtain a new quantum system\nobeying to a nonlinear Schroedinger equation with a real nonlinearity. As an\napplication of this theory we consider a few already studied Schroedinger\nequations as that containing the nonlinearity introduced by the\nexclusion-inclusion principle, the Doebner-Goldin equation and others.\n PACS numbers: 03.65.-w, 11.15.-q",
"arxiv_id": "quant-ph/0209075",
"authors": [
"G. Kaniadakis",
"A. M. Scarfone"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0034-4877(01)80014-8",
"journal_ref": "Rep. Math. Phys. 46, 113 (2000)",
"title": "Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities",
"url": "https://arxiv.org/abs/quant-ph/0209075"
},
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