417 citations · 1.6k across the 72 of their papers we have counts for
3 papers · 2 filters
Poisson Structure of the Three-Dimensional Euler Equations in Fourier Space
Holger R. Dullin, James D. Meiss, Joachim Worthington
We derive a simple Poisson structure in the space of Fourier modes for the vorticity formulation of the Euler equations on a three-dimensional periodic domain. This allows us to an…
Quantum Monodromy in the Isotropic 3-Dimensional Harmonic Oscillator
Irina Chiscop, Holger R. Dullin, Konstantinos Efstathiou +1
The isotropic harmonic oscillator in dimension 3 separates in several different coordinate systems. Separating in a particular coordinate system defines a system of three commuting…
Scattering invariants in Euler's two-center problem
Nikolay Martynchuk, Holger R. Dullin, Konstantinos Efstathiou +1
The problem of two fixed centers was introduced by Euler as early as in 1760. It plays an important role both in celestial mechanics and in the microscopic world. In the present pa…