E. Rosenberger

activity

20132026

most citedHarmonic Approximation of Difference Operators

13 citations · 37 across the 7 of their papers we have counts for

collaborators

9 papers

math-ph2026★ 3 cited

Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators

Markus Klein, Elke Rosenberger

We analyze a general class of difference operators $H_{ε} = T_{ε} + V_{ε}$ on $ℓ^{2} (ε Z^{d})$ , where $V_{ε}$ is a multi-well poten…

math.SP2025

Weyl asymptotics for pseudodifferential operators in a discrete setting

Markus Klein, Enrico Reiss, Elke Rosenberger

We prove a sharp Weyl estimate for the number of eigenvalues belonging to a fixed interval of energy of a self-adjoint difference operator acting on $ℓ^{2} (ε Z^{d})$ if the…

math-ph2020

The Tunneling Effect for Schrödinger operators on a Vector Bundle

Markus Klein, Elke Rosenberger

In the semiclassical limit h to 0, we analyze a class of self-adjoint Schrödinger operators H_h = h^2 L + h W + V id_E acting on sections of a vector bundle E over an oriented Riem…

math-ph2017★ 13 cited

Harmonic Approximation of Difference Operators

Markus Klein, Elke Rosenberger

For a general class of difference operators $H_{ε} = T_{ε} + V_{ε}$ on $ℓ^{2} (ε Z^{d})$ , where $V_{ε}$ is a multi-well potential an…

math-ph2017★ 12 cited

Agmon-Type Estimates for a Class of Difference Operators

Markus Klein, Elke Rosenberger

We analyze a general class of self-adjoint difference operators $H_{ε} = T_{ε} + V_{ε}$ on $ℓ^{2} (ε Z^{d})$ , where $V_{ε}$ is a one…

math.SP2017★ 2 cited

Tunneling for a class of Difference Operators: Complete Asymptotics

Markus Klein, Elke Rosenberger

We analyze a general class of difference operators $H_{ε} = T_{ε} + V_{ε}$ on $ℓ^{2} (ε Z^{d})$ , where $V_{ε}$ is a multi-well poten…