A. Jensen

activity

20072022

most citedContinuum limit for lattice Schrödinger operators

10 citations · 53 across the 16 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math-ph2013

A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

Kenichi Ito, Arne Jensen

We consider the discrete one-dimensional Schrödinger operator $H = H_{0} + V$ , where $(H_{0} x) [n] = - (x [n + 1] + x [n - 1] - 2 x [n])$ and $V$ is a self-adjoint operator on $ℓ^{2} (Z)$ with a…

math-ph2013★ 9 cited

Metastable states when the Fermi Golden Rule constant vanishes

Horia D. Cornean, Arne Jensen, Gheorghe Nenciu

Resonances appearing by perturbation of embedded non-degenerate eigenvalues are studied in the case when the Fermi Golden Rule constant vanishes. Under appropriate smoothness prope…