Special solutions of nonlinear von Neumann equations

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dc.creatorNaudts, Jan
dc.creatorKuna, Maciej
dc.date2005-06-09
dc.date2006-02-12
dc.date.accessioned2026-07-07T06:42:16Z
dc.date.available2026-07-07T06:42:16Z
dc.descriptionWe consider solutions of the non-linear von Neumann equation involving Jacobi's elliptic functions sn, cn, and dn, and 3 linearly independent operators. In two cases one can construct a state-dependent Hamiltonian which is such that the corresponding non-linear von Neumann equation is solved by the given density operator. We prove that in a certain context these two cases are the only possibilities to obtain special solutions of this kind. Well-known solutions of the reduced Maxwell-Bloch equations produce examples of each of the two cases. Also known solutions of the non-linear von Neumann equation in dimension 3 are reproduced by the present approach.
dc.descriptionextended from 13 to 21 pages (extra example, two theorems added)
dc.identifierhttps://arxiv.org/abs/math-ph/0506020
dc.identifierhttp://arxiv.org/abs/math-ph/0506020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101974
dc.subjectMathematical Physics
dc.subject35Q55
dc.titleSpecial solutions of nonlinear von Neumann equations
dc.typetext

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