Abstract
AbstractUsing a parameterisation of general self-adjoint boundary conditions in terms of Lagrange planes we propose a scheme for factorising the matrix Schrödinger 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 discuss the specialisation to the case of a graph with trivial compact part, that is, with diagonal matrix potential.
Publisher
Cambridge University Press (CUP)
Subject
Mathematics (miscellaneous)
Reference5 articles.
1. [3] Harmer M. S. , “The matrix Schrödinger operator and Schrödinger operator on graphs’, Ph. D. Thesis, University of Auckland, 2000.
2. Kirchhoff's rule for quantum wires
Cited by
41 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献