Inverse scattering for the matrix Schroedinger operator and Schroedinger operator on graphs with general self-adjoint boundary conditions

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dc.creatorHarmer, M.
dc.date2007-03-01
dc.date.accessioned2026-07-07T07:49:31Z
dc.date.available2026-07-07T07:49:31Z
dc.descriptionUsing a parameterisation of general self-adjoint boundary conditions in terms of Lagrange planes we propose a scheme for factorising the matrix Schroedinger operator and hence construct a Darboux transformation an interesting feature of which is that the matrix potential and boundary conditions are altered under the transformation. We present a solution of the inverse problem in the case of general boundary conditions using a Marchenko equation and discusss the specialisation to the case of graph with trivial compact part, ie. diagonal matrix potential.
dc.identifierhttps://arxiv.org/abs/math-ph/0703007
dc.identifierhttp://arxiv.org/abs/math-ph/0703007
dc.identifierANZIAM Journal, 43 (2002), 1--8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124880
dc.subjectMathematical Physics
dc.titleInverse scattering for the matrix Schroedinger operator and Schroedinger operator on graphs with general self-adjoint boundary conditions
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