Aalborg University

output

19992026

most citedSecondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging

976 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2020 · math-phShow all

5 papers · 2 filters

math-ph2020★ 10 cited

Continuum limit for lattice Schrödinger operators

Hiroshi Isozaki, Arne Jensen

We study the behavior of solutions of the Helmholtz equation $(- Δ_{d i sc, h} - E) u_{h} = f_{h}$ on a periodic lattice as the mesh size $h$ tends to 0. Projecting to the eigenspace of a…

math-ph2020★ 2 cited

Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field

Horia D. Cornean, Bernard Helffer, Radu Purice

This is the last paper in a series of three in which we have studied the Peierls substitution in the case of a weak magnetic field. Here we deal with two $2 d$ Bloch eigenvalues whi…

math-ph2020

Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions

Kenichi Ito, Arne Jensen

We present an explicit formula for the resolvent of the discrete Laplacian on the square lattice, and compute its asymptotic expansions around thresholds in low dimensions. As a by…

math-ph2020★ 5 cited

Středa formula for charge and spin currents

Domenico Monaco, Massimo Moscolari

We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the $z$ -c…

math-ph2020★ 2 cited

A solvable model of the breakdown of the adiabatic approximation

Artbazar Galtbayar, Arne Jensen, Kenji Yajima

Let $L \geq 0$ and $0 < ε ≪ 1$ . Consider the following time-dependent family of $1 D$ Schrödinger equations with scaled and translated harmonic oscillator potentials $ i\varep…