activity
20082022
most citedThe trace formula for quantum graphs with general self adjoint boundary conditions

65 citations · 118 across the 5 of their papers we have counts for

collaborators

5 papers

cs.NI2022★ 11 cited

Performance of QUIC Implementations Over Geostationary Satellite Links

Sebastian Endres, Jörg Deutschmann, Kai-Steffen Hielscher +1

QUIC was recently standardized as RFC 9000, but the performance of QUIC over geostationary satellite links is problematic due to the non-applicability of Performance Enhancing Prox…

math-ph2011★ 8 cited

An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics

Sebastian Egger, Frank Steiner

We study a quantum Hamiltonian that is given by the (negative) Laplacian and an infinite chain of -like potentials with strength on the half line $\rz_{\geq0}$ and which i…

math-ph2010★ 10 cited

A new proof of the Voronoï summation formula

Sebastian Egger, Frank Steiner

We present a short alternative proof of the Voronoï summation formula which plays an important role in Dirichlet's divisor problem and has recently found an application in physics…

math-ph2009★ 24 cited

The Berry-Keating operator on $L^2(\rz_>,\ud x)$ and on compact quantum graphs with general self-adjoint realizations

Sebastian Endres, Frank Steiner

The Berry-Keating operator $H_{\mathrm{BK}}:= -\ui\hbar(x\frac{\ud\phantom{x}}{\ud x}+{1/2})$ [M. V. Berry and J. P. Keating, SIAM Rev. 41 (1999) 236] governing the Schrödinger dyn…

math-ph2008★ 65 cited

The trace formula for quantum graphs with general self adjoint boundary conditions

Jens Bolte, Sebastian Endres

We consider compact metric graphs with an arbitrary self adjoint realisation of the differential Laplacian. After discussing spectral properties of Laplacians, we prove several ver…