73 citations · 523 across the 34 of their papers we have counts for
36 papers
Extremal Black Holes as Relativistic Systems with Kepler Dynamics
Dijs de Neeling, Diederik Roest, Marcello Seri +1
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of relativistic two-body systems. The c…
Maslov Bundles and Maslov Data
Konstantinos Efstathiou, Bohuan Lin, Holger Waalkens
We define Maslov bundles over a symplectic manifold . These are the determinant bundle of the unitary frame bundle defined by an almost complex structure compati…
Critical points at infinity in charged N-body systems
I. Hoveijn, H. Waalkens, M. Zaman
We define the notion of critical points at infinity for the charged N-body problem, following the approach of Albouy 1993. We give a characterisation of such points and show how th…
Hill regions of charged three-body systems
Igor Hoveijn, Holger Waalkens, Mohammad Zaman
For charged three-body systems, we discuss the configurations and orientations that are admissible for given values of the conserved total energy and angular momentum. The admissib…
Loops of Infinite Order and Toric Foliations
Konstantinos Efstathiou, Bohuan Lin, Holger Waalkens
In 2005 Dullin et al. proved that the non-zero vector of Maslov indices is an eigenvector with eigenvalue 1 of the monodromy matrices of an integrable Hamiltonian system. We take a…
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
Eric J. Pap, Daniël Boer, Holger Waalkens
We present a formal geometric framework for the study of adiabatic quantum mechanics for arbitrary finite-dimensional non-degenerate Hamiltonians. This framework generalizes earlie…