27 citations · 36 across the 7 of their papers we have counts for
7 papers
The Unruh state for bosonic Teukolsky fields on subextreme Kerr spacetimes
Dietrich Häfner, Christiane K. M. Klein
We perform the quantization of Teukolsky scalars of spin , , and within the algebraic approach to quantum field theory. We first discuss the classical phase space…
Nonlinear Schrödinger equation on a unit ball in one and two dimensions
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We investigate the nonlinear Schrödinger equation on a unit ball in one and two dimensions with Dirichlet boundary condition, focusing on ground states, their limiting behavior, st…
A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation
Meriem Bahhi, Jonas Lampart, Christian Klein +1
We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well as…
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime
Anton Arnold, Christian Klein, Jannis Körner +1
This paper is dedicated to the efficient numerical computation of solutions to the 1D stationary Schrödinger equation in the highly oscillatory regime. We compute an approximate so…
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
Jannis Körner, Anton Arnold, Christian Klein +1
We discuss the numerical solution of initial value problems for in the highly oscillatory regime, i.e., with and . We an…
On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
K. R. Khusnutdinova, C. Klein, V. B. Matveev +1
There exist two versions of the Kadomtsev-Petviashvili equation, related to the Cartesian and cylindrical geometries of the waves. In this paper we derive and study a new version,…
New construction of algebro-geometric solutions to the Camassa-Holm equation and their numerical evaluation
C. Kalla, C. Klein
An independent derivation of solutions to the Camassa-Holm equation in terms of multi-dimensional theta functions is presented using an approach based on Fay's identities. Reality…