most citedManipulating the electron current through a splitting

5 citations · 12 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph20072 cited

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…

math-ph20071 cited

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…

math-ph20075 cited

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…

math-ph2007

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…

math.SP20074 cited

The spectra of the spherical and euclidean triangle groups

M. Harmer

We derive the spectrum of the Laplace-Beltrami operator on the quotient orbifold of the non hyperbolic triangle groups.

math.CA2007

Note on the Schwarz Triangle functions

M. Harmer

We shown the rationality of the Taylor coefficients of the inverse of the Schwarz triangle functions for a triangle group about any vertex of the fundamental domain.