Outputs (15)

Approximations of spectra of Schrödinger operators with complex potentials on ℝ^d (2017)
Journal Article
Boegli, S., Siegl, P., & Tretter, C. (2017). Approximations of spectra of Schrödinger operators with complex potentials on ℝ^d. Communications in Partial Differential Equations, 42(7), 1001-1041. https://doi.org/10.1080/03605302.2017.1330342

We study spectral approximations of Schrödinger operators T = −Δ+Q with complex potentials on Ω = ℝd, or exterior domains Ω⊂ℝd, by domain truncation. Our weak assumptions cover wide classes of potentials Q for which T has discrete spectrum, of approx... Read More about Approximations of spectra of Schrödinger operators with complex potentials on ℝ^d.

Convergence of Sequences of Linear Operators and Their Spectra (2017)
Journal Article
Boegli, S. (2017). Convergence of Sequences of Linear Operators and Their Spectra. Integral Equations and Operator Theory, 88(4), 559-599. https://doi.org/10.1007/s00020-017-2389-3

We establish spectral convergence results of approximations of unbounded non-selfadjoint linear operators with compact resolvents by operators that converge in generalized strong resolvent sense. The aim is to establish general assumptions that ensur... Read More about Convergence of Sequences of Linear Operators and Their Spectra.

Schrödinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues (2016)
Journal Article
Boegli, S. (2017). Schrödinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues. Communications in Mathematical Physics, 352(2), 629-639. https://doi.org/10.1007/s00220-016-2806-5

We study Schrödinger operators H=−Δ+V in L2(Ω) where Ω is Rd or the half-space Rd+, subject to (real) Robin boundary conditions in the latter case. For p>d we construct a non-real potential V∈Lp(Ω)∩L∞(Ω) that decays at infinity so that H has infinite... Read More about Schrödinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues.

Guaranteed resonance enclosures and exclosures for atoms and molecules (2014)
Journal Article
Boegli, S., Brown, B. M., Marletta, M., Tretter, C., & Wagenhofer, M. (2014). Guaranteed resonance enclosures and exclosures for atoms and molecules. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2171), https://doi.org/10.1098/rspa.2014.0488

In this paper, we confirm, with absolute certainty, a conjecture on a certain oscillatory behaviour of higher auto-ionizing resonances of atoms and molecules beyond a threshold. These results not only definitely settle a more than 30 year old controv... Read More about Guaranteed resonance enclosures and exclosures for atoms and molecules.

Remarks on the Convergence of Pseudospectra (2014)
Journal Article
Boegli, S., & Siegl, P. (2014). Remarks on the Convergence of Pseudospectra. Integral Equations and Operator Theory, 80(3), 303-321. https://doi.org/10.1007/s00020-014-2178-1

We establish the convergence of pseudospectra in Hausdorff distance for closed operators acting in different Hilbert spaces and converging in the generalised norm resolvent sense. As an assumption, we exclude the case that the limiting operator has c... Read More about Remarks on the Convergence of Pseudospectra.