M
Maria Przybylska
Researcher at University of Zielona Góra
Publications - 99
Citations - 1263
Maria Przybylska is an academic researcher from University of Zielona Góra. The author has contributed to research in topics: Hamiltonian system & Integrable system. The author has an hindex of 20, co-authored 94 publications receiving 1132 citations. Previous affiliations of Maria Przybylska include University of Grenoble & French Institute for Research in Computer Science and Automation.
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Full spectrum of the Rabi model
TL;DR: In this paper, it was shown that for an integer value of the spectral parameter x, in addition to the finite number of the classical Judd states there exist infinitely many possible eigenstates.
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Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
TL;DR: In this article, the integrability of polynomial potentials with two degrees of freedom has been studied and the strongest necessary conditions for their integration have been obtained by a study of the differential Galois group of variational equations along straight line solutions.
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Analytical method of spectra calculations in the Bargmann representation
TL;DR: In this paper, 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 variable, such as one and multi-photon Rabi models, or N level systems interacting with a single mode of the electromagnetic field and their various generalizations was formulated.
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All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
TL;DR: In this paper, the complete list of all meromorphically integrable Hamiltonian systems of the form H=(p12+p22)/2+V(q1,q2), where V is a homogeneous polynomial of degree 3, is given.
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Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces
TL;DR: In this article, the necessary conditions for the maximal superintegrability of a certain family of classical potentials defined in the constant curvature two-dimensional spaces are formulated and examples of homogeneous potentials of degree?2 on as well as their equivalents on and for which these necessary conditions are also sufficient.