P. Siegl

activity

20092026

most citedPseudospectra in non-Hermitian quantum mechanics

138 citations · 634 across the 34 of their papers we have counts for

collaborators

40 papers

math-ph2026

Araki Cohomology of the de Sitter Scalar Discrete Series

Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan +1

Building on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations $Π_{p, 0}$ , $p=1,2,\…

math.SP2026

Eigensystems of Dirac operators with singular potentials

Boris Mityagin, Petr Siegl

We perturb one-dimensional Dirac operators on a bounded interval subject to Dirichlet boundary conditions by potentials with Fourier coefficients exhibiting power-decay. As a conse…

math.SP2026

Spectral projections of an anharmonic oscillator with complex polynomial potential

Boris Mityagin, Petr Siegl

For a broad class of polynomial potentials $V$ , with an important and instructive representative being $V (x) = x^{2 a} + i x^{b}$ , $x \in R$ , $a, b \in N$ , we show tha…

math.SP2024

Local form subordination without a power decay and a criterion of Riesz basesness

Boris Mityagin, Petr Siegl

We revisit the local form subordination condition on the perturbation of a self-adjoint operators with compact resolvent, which is used to show the Riesz basis property of the eige…

math.SP2022

Generalised Airy Operators

Antonio Arnal, Petr Siegl

We study the behaviour of the norm of the resolvent for non-self-adjoint operators of the form $A := - \partial_{x} + W (x)$ , with $W (x) \geq 0$ , defined in $L^{2} (R)$ . We provid…

math.SP2022★ 9 cited

Resolvent estimates for one-dimensional Schrödinger operators with complex potentials

Antonio Arnal, Petr Siegl

We study one-dimensional Schrödinger operators $H = - \partial_{x}^{2} + V$ with unbounded complex potentials $V$ and derive asymptotic estimates for the norm of the reso…