86 citations · 1k across the 58 of their papers we have counts for
58 papers
Translational dynamics of diatomic molecule in magnetic quadrupole trap
Yurij Yaremko, Maria Przybylska, Andrzej J. Maciejewski
We study the translational motions of homonuclear diatomic molecules prepared in their electronic states, deeply bound vibrational states, and rotational states of well-def…
Non-integrability of charged three-body problem
Maria Przybylska, Andrzej J. Maciejewski
We consider the problem of points with positive masses interacting pairwise with forces inversely proportional to the distance between them. In particular, it is the classical…
Top on a smooth plane
Maria Przybylska, Andrzej Maciejewski
We investigate the dynamics of a sliding top that is a rigid body with an ideal sharp tip moving in a perfectly smooth horizontal plane, so no friction forces act on the body. We p…
Non-integrability of the -body problem
Andrzej J. Maciejewski, Maria Przybylska, Thierry Combot
We prove that the classical planar -body problem when restricted to a common level of the energy and the angular momentum is not integrable except in the case when both values o…
Integrability of quantum dots
Maciej Dunajski, Andrzej J. Maciejewski, Maria Przybylska
We determine the frequency ratios for which the Hamiltonian system with a potential \[ V=\frac{1}{r}+\frac{1}{2}\Big({ω_ρ}^2(x^2+y^2)+{ω_z}^2 z^2\Big) \] is compl…
Dynamics and non-integrability of the double spring pendulum
Wojciech Szumiński, Andrzej J. Maciejewski
This paper investigates the dynamics and integrability of the double spring pendulum, which has great importance in studying nonlinear dynamics, chaos, and bifurcations. Being a Ha…