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math-ph2026
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-de…
math-ph2025
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…