12 citations · 51 across the 11 of their papers we have counts for
11 papers
Two particles on a star graph II
M. Harmer
We consider a two particle system on a star graph with delta-function interaction. A complete description of the eigensolutions with real momenta is given; specifically it is shown…
Two particles on a star graph I
M. Harmer
We consider a two particle system on a star graph with -function interaction. A class of eigensolutions is described which are constructed from appropriate one particle solution…
Hermitian symplectic geometry and the factorisation of the scattering matrix on graphs
M. Harmer
Hermitian symplectic spaces provide a natural framework for the extension theory of symmetric operators. Here we show that hermitian symplectic spaces may also be used to describe…
Hermitian symplectic geometry and extension theory
M. Harmer
Here we give brief account of hermitian symplectic spaces, showing that they are intimately connected to symmetric as well as self-adjoint extensions of a symmetric operator. Furth…
Manipulating the electron current through a splitting
M. Harmer, A. Mikhailova, B. S. Pavlov
The description of electron current through a splitting is a mathematical problem of electron transport in quantum networks. For quantum networks constructed on the interface of na…
Inverse Scattering on Matrices with Boundary Conditions
M. Harmer
We describe inverse scattering for the matrix Schroedinger operator with general selfadjoint boundary conditions at the origin using the Marchenko equation. Our approach allows the…