5 citations · 12 across the 7 of their papers we have counts for
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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…
Spin filtering on a ring with Rashba hamiltonian
M. Harmer
We consider a quantum graph consisting of a ring with Rashba hamiltonian and an arbitrary number of semi-infinite wires attached. We describe the scattering matrix for this system…