86 citations · 631 across the 43 of their papers we have counts for
13 papers · 1 filter
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 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…
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…
The geodesic flow of the BGPP metric is Liouville integrable
Andrzej J. Maciejewski, Maria Przybylska, Galliano Valent
We prove that the geodesics equations corresponding to the BGPP metric are integrable in the Liouville sense. The symmetry of the model allows to reduce…
An exactly solvable system from quantum optics
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
We investigate a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a sy…
Comment on "Solvability of the two-photon Rabi Hamiltonian"
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
An implicit formula for the spectrum of the two-photon Rabi model was presented by Travenec in Phys. Rev. A 85, 043805 (2012) in analogy to the method of Braak [Phys. Rev. Lett. 10…