53 citations · 175 across the 7 of their papers we have counts for
7 papers
The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
Georgios Lukes-Gerakopoulos, Matthaios Katsanikas, Panos A. Patsis +1
We investigate for order and chaos the dynamical system of a spinning test particle of mass moving in the spacetime background of a Kerr black hole of mass M. This system is ap…
Comparing Hamiltonians of a spinning test particle for different tetrad fields
Daniela Kunst, Tomáš Ledvinka, Georgios Lukes-Gerakopoulos +1
This work is concerned with suitable choices of tetrad fields and coordinate systems for the Hamiltonian formalism of a spinning particle derived in [E. Barausse, E. Racine, and A.…
A splitting integrator for the BCS equations of superconductivity
Jonathan Seyrich
The BCS equations are the centerpiece of the microscopic description of superconductivity. Their space discretization yields a system of coupled ordinary differential equations. In…
Comparing the full time-dependent Bogoliubov--de-Gennes equations to their linear approximation: A numerical investigation
Christian Hainzl, Jonathan Seyrich
In this paper we report on the results of a numerical study of the nonlinear time-dependent Bardeen--Cooper--Schrieffer (BCS) equations, often also denoted as Bogoliubov--de--Genne…
Investigating spinning test particles: spin supplementary conditions and the Hamiltonian formalism
Georgios Lukes-Gerakopoulos, Jonathan Seyrich, Daniela Kunst
In this paper we report the results of a thorough numerical study of the motion of spinning particles in Kerr spacetime with different prescriptions. We first evaluate the Mathisso…
Gauss collocation methods for efficient structure preserving integration of post-Newtonian equations of motion
Jonathan Seyrich
In this work, we present the hitherto most efficient and accurate method for the numerical integration of post-Newtonian equations of motion. We first transform the Poisson system…
A Symmetric Integrator for non-integrable Hamiltonian Relativistic Systems
Jonathan Seyrich, Georgios Lukes-Gerakopoulos
By combining a standard symmetric, symplectic integrator with a new step size controller, we provide an integration scheme that is symmetric, reversible and conserves the values of…