86 citations · 1k across the 58 of their papers we have counts for
8 papers · 1 filter
Full spectrum of the Rabi model
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
It is shown that in the Rabi model, for an integer value of the spectral parameter , in addition to the finite number of the classical Judd states there exist infinitely many po…
The inhomogeneous Suslov problem
Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero +1
We consider the Suslov problem of nonholonomic rigid body motion with inhomogeneous constraints. We show that if the direction along which the Suslov constraint is enforced is perp…
Comment on "Nonexistence of the final first integral in the Zipoy-Voorhees space-time"
Georgios Lukes-Gerakopoulos, Andrzej J. Maciejewski, Maria Przybylska +1
The accuracy of the numerical findings of Lukes-Gerakopoulos PRD 86, 044013 (2012), regarding the existence of additional first integrals in the Zipoy-Voorhees space-time, was rece…
Non-integrability of the dumbbell and point mass problem
Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson +1
This paper discusses a constrained gravitational three-body problem with two of the point masses separated by a massless inflexible rod to form a dumbbell. The non-integrability of…
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions
Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska
The classical Euler--Poinsot case of the rigid body dynamics admits a class of simple but non-trivial integrable generalizations, which modify the Poisson equations describing the…
Integrability of potentials of degree . Second order variational equations between Kolchin solvability and Abelianity
Guillaume Duval, Andrzej J. Maciejewski
In our previous paper: Integrability of Homogeneous potentials of degree . An application of higher order variational equations, we tried to extract some particular stru…
Integrability of Hamiltonian systems with homogeneous potentials of degrees . An application of higher order variational equations
Guillaume Duval, Andrzej J. Maciejewski
The present work is the first of a serie of two papers, in which we analyse the higher variational equations associated to natural Hamiltonian systems, in their attempt to give Gal…
Nonexistence of the final first integral in the Zipoy-Voorhees space-time
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
We show that the geodesic motion in the Zipoy-Voorhees space-time is not Liouville integrable, in that there does not exist an additional first integral meromorphic in the phase sp…