39 citations · 169 across the 20 of their papers we have counts for
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math.SP2015
Approximations of spectra of Schrödinger operators with complex potentials on
Sabine Bögli, Petr Siegl, Christiane Tretter
We study spectral approximations of Schrödinger operators with complex potentials on , or exterior domains , by domain truncation. O…
math.SP2015★ 8 cited
Analysis of the essential spectrum of singular matrix differential operators
Orif O. Ibrogimov, Petr Siegl, Christiane Tretter
A complete analysis of the essential spectrum of matrix-differential operators of the form \begin{align} \begin{pmatrix} -\displaystyle{\frac{\rm d}{\rm d t}} p \displ…
math-ph2015★ 2 cited
Non-linear eigenvalue problems and applications to photonic crystals
Christian Engström, Heinz Langer, Christiane Tretter
We establish new analytic and numerical results on a general class of rational operator Nevanlinna functions that arise e.g. in modelling photonic crystals. The capability of these…