14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR173 papers
- Nicolaus Copernicus Astronomical CenterPL152 papers
- University of WarsawPL143 papers
- Inter-University Centre for Astronomy and AstrophysicsIN137 papers
- National Centre for Nuclear ResearchPL134 papers
- California Institute of TechnologyUS133 papers
- Goddard Space Flight CenterUS129 papers
- Massachusetts Institute of TechnologyUS127 papers
- Sapienza University of RomeIT127 papers
- Tata Institute of Fundamental ResearchIN127 papers
- University of SalernoIT126 papers
- University of Rome Tor VergataIT125 papers
31 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…
Fermi's golden rule in tunneling models with quantum waveguides perturbed by Kato class measures
Sylwia Kondej, Kacper Ślipko
In this paper we consider two dimensional quantum system with an infinite waveguide of the width and a transversally invariant profile. Furthermore, we assume that at a distant…
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…
(2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions
Anna Karczewska, Piotr Rozmej
We study the problem of gravity surface waves for an ideal fluid model in the (2+1)-dimensional case. We apply a systematic procedure to derive the Boussinesq equations for a given…
Boussinesq's equations for (2+1)-dimensional gravity-surface waves in an ideal fluid model
Anna Karczewska, Piotr Rozmej
We study the problem of gravity surface waves for the ideal fluid model in (2+1)-dimensional case. We apply a systematic procedure for deriving the Boussinesq equations for a presc…
Non-integrability of the Kepler and the two-body problem on the Heisenberg group
Tomasz Stachowiak, Andrzej J. Maciejewski
The analog of the Kepler system defined on the Heisenberg group introduced by Montgomery and Shanbrom in [Fields Inst. Commun., Vol. 73, Springer, New York, 2015, 319-342, arXiv:12…
Soft quantum waveguides with an explicit cut-locus
Sylwia Kondej, David Krejcirik, Jan Kriz
We consider two-dimensional Schroedinger operators with an attractive potential in the form of a channel of a fixed profile built along an unbounded curve composed of a circular ar…
Remarks on existence/nonexistence of analytic solutions to higher order KdV equations
Anna Karczewska, Piotr Rozmej
In this note, we discuss the existence of analytic solutions to the nonlinear wave equations of the higher order than the ubiquitous Korteweg-de Vries (KdV) equation. First, we rec…
Straight quantum layer with impurities inducing resonances
Sylwia Kondej
We consider a straight three dimensional quantum layer with singular potential supported on a straight wire which is localized perpendicularly to the walls and connects them. We pr…
Spectral asymptotics induced by approaching and diverging planar circles
Sylwia Kondej
We consider two dimensional system governed by the Hamiltonian with delta interaction supported by two concentric circles separated by distance . We analyze the asymptotics of t…
Gap asymptotics in a weakly bent leaky quantum wire
Pavel Exner, Sylwia Kondej
The main question studied in this paper concerns the weak-coupling behavior of the geometrically induced bound states of singular Schrödinger operators with an attractive inter…
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…
Analytical method of spectra calculations in the Bargmann representation
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
We formulate a universal method for solving an arbitrary quantum system which, in the Bargmann representation, is described by a system of linear equations with one independent var…
A straight waveguide with a wire inducing resonances
Sylwia Kondej, Wiesław Leoński
We study a straight infinite planer waveguide with, so called, leaky wire attached to the walls of the waveguide. The wire is modelled by an attractive delta interaction supported…
Relation of deformed nonlinear algebras with linear ones
A. Nowicki, V. M. Tkachuk
The relation between nonlinear algebras and linear ones is established. For one-dimensional nonlinear deformed Heisenberg algebra with two operators we find the function of deforma…
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…
On integrable rational potentials of the Dirac equation
Tomasz Stachowiak, Maria Przybylska
The one dimensional Dirac equation with a rational potential is reducible to an ordinary differential equation with a Riccati-like coefficient. Its integrability can be studied wit…
The Poisson equations in the nonholonomic Suslov problem: Integrability, meromorphic and hypergeometric solutions
Yuri Fedorov, Andrzej J. Maciejewski, Maria Przybylska
We consider the problem of integrability of the Poisson equations describing spatial motion of a rigid body in the classical nonholonomic Suslov problem. We obtain necessary condit…
Global integrability of cosmological scalar fields
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…
Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in \mathbb{R}^3
Pavel Exner, Sylwia Kondej
We consider Schrödinger operators in with a singular interaction supported by a finite curve . We present a proper definition of the operators and study thei…
Spectral gap of segments of periodic waveguides
Sylwia Kondej, Ivan Veselic'
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of per…
Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Sylwia Kondej, Ivan Veselic'
We analyze Schrödinger operators whose potential is given by a singular interaction supported on a sub-manifold of the ambient space. Under the assumption that the operator has at…