86 citations · 631 across the 43 of their papers we have counts for
43 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…
Destructive relativity
Maria Przybylska, Wojciech Szumiński, Andrzej J. Maciejewski
Relativistic Hamiltonian equations describing a motion of a point mass in an arbitrary homogeneous potential are considered. For the first time, the necessary integrability conditi…