8 citations · 22 across the 8 of their papers we have counts for
8 papers
A Szegő Limit Theorem Related to the Hilbert Matrix
Peter Otte
The Szegő limit theorem by Fedele and Gebert for matrices of the type identity minus Hankel matrix is proved for the special case where is the $N\times…
A cost effective and reliable environment monitoring system for HPC applications
Peter Bernd Otte, Dalibor Djukanovic
We present a slow control system to gather all relevant environment information necessary to effectively and reliably run an HPC (High Performance Computing) system at a high value…
Ground-state energy of one-dimensional free Fermi gases in the thermodynamic limit
Peter Otte, Wolfgang Spitzer
We study the ground-state energy of one-dimensional, non-interacting fermions subject to an external potential in the thermodynamic limit. To this end, we fix some (Fermi) energy $…
Anderson's orthogonality catastrophe in one dimension induced by a magnetic field
Hans Konrad Knörr, Peter Otte, Wolfgang Spitzer
According to Anderson's orthogonality catastrophe, the overlap of the -particle ground states of a free Fermi gas with and without an (electric) potential decays in the thermody…
The exponent in the orthogonality catastrophe for Fermi gases
Martin Gebert, Heinrich Küttler, Peter Müller +1
We quantify the asymptotic vanishing of the ground-state overlap of two non-interacting Fermi gases in -dimensional Euclidean space in the thermodynamic limit. Given two one-par…
Anderson's Orthogonality Catastrophe for One-dimensional Systems
Heinrich Küttler, Peter Otte, Wolfgang Spitzer
We derive rigorously the leading asymptotics of the so-called Anderson integral in the thermodynamic limit for one-dimensional, non-relativistic, spin-less Fermi systems. The coeff…
Convergence of Infinite Series in Bosonic Second Quantization
Peter Otte
The functor of second quantization as well as quadratic creation and annihilation operators on the bosonic Fock space are defined through possibly infinite series. The domain of co…
Boundedness properties of fermionic operators
Peter Otte
The fermionic second quantization operator is shown to be bounded by a power of the number operator given that the operator belongs to the -th von Neum…