The Rector’s of the Czech Technical University in Prague (CTU) Award for outstanding scientific achievement was given to doc. Ing. Libor Šnobl, Ph.D., from the Faculty of Nuclear Sciences and Physical Engineering, CTU in Prague (FNSPE) together with Antonelle Marchesiello, Ph.D., from the Faculty of Information Technology, CTU in Prague (FIT). They collected the award for the work Superintegrable systems in magnetic fields in three spatial dimensions on 21 January 2020 in the Bethlehem Chapel at a ceremonial meeting of the Scientific Council of CTU.
Joint work of doc. Libor Šnobl and Antonelle Marchesiell improves the understanding of superintegrable systems, especially when comparing magnetic field and scalar potential systems as well as possible physical applications, e.g. in plasma physics. Superintegrable systems, i.e. integrable systems that have additional motion integrals, constitute an important class of mechanical systems. The focus of the research is the investigation of superintegrability in magnetic fields in three spatial dimensions. Its results are relevant, for example, in the research of magnetic vessels needed to maintain plasma during thermonuclear fusion.
“The work is the result of intensive international cooperation. The main partner is the Center de recherches mathématiques, Université de Montréal, whose laboratory of mathematical physics is doc. Libor Šnobl external associate member since 2018 and which is the primary location of prof. Pavel Winternitz,”states the petitioner prof. Igor Jex.
The results have been published in five articles in international impact journals. In addition, two of these articles were edited by the editors for the IOPselect collection, one of which was awarded the Highlights of 2015 Journal of Physics A: Mathematical and Theoretical.
Sébastien Bertrand is staying at CTU as part of his two-year post-doctoral scholarship of the Fonds de Recherche du Québec: Nature et Technology and received another two-year scholarship for the period 2020-2021 by the Natural Sciences and Engineering Research Council of Canada.
Doc. Libor Šnobl works at the Department of Physics of FNSPE and is also Vice-Dean for Science, Research and International Relations. Together with prof. Edita Pelantová also leads the team of Combinatorial and Algebraic Structures, Theoretical Computer Science within the program Mathematics, Mathematical Physics and Theoretical Research (THEORY), which consists of 13 FNSPE and FIT staff.
The nominated results file is contained in the following five publications:
- Marchesiello, A.; Šnobl, L.; Winternitz, P. Three-dimensional superintegrable systems in a static electromagnetic field. J. Phys. A 48 (2015), no. 39, 395206, 24 pp. & Highlights of 2015 of J. Phys. A & IOPSelect.
- Marchesiello, A.; Post, S.; Šnobl, L. Third-order superintegrable systems with potentials satisfying only nonlinear equations. J. Math. Phys. 56 (2015), no. 10, 102104, 11 pp.
- Marchesiello, A.; Šnobl, L. Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables. J. Phys. A 50 (2017), no. 24, 245202, 24 pp.
- Marchesiello, A.; Šnobl, L.; Winternitz, P. Spherical type integrable classical systems in a magnetic field. J. Phys. A 51 (2018), no. 13, 135205, 24 pp. & IOPSelect.
- Marchesiello, A.; Šnobl, L. An infinite family of maximally superintegrable systems in a magnetic field with higher order integrals. SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 092, 11 pp.