doc. Ing. Libor Šnobl Ph.D.

On the incompleteness of the classification of quadratically integrable Hamiltonian systems in the three-dimensional Euclidean space

Year of publication
2025
Publication
Journal of Physics A: Mathematical and Theoretical. 2025, 58(11), ISSN 1751-8113.
Authors
Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/adbe19

Integrable systems in magnetic fields: the generalized parabolic cylindrical case

Year of publication
2024
Publication
Journal of Physics A: Mathematical and Theoretical. 2024, 57(23), 1-21. ISSN 1751-8113.
Authors
Kubů, O. Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/ad4936

Superintegrable families of magnetic monopoles with non-radial potential in curved background

Year of publication
2024
Publication
Journal of Geometry and Physics. 2024, 203 ISSN 1879-1662.
Authors
Marchesiello, A. Reyes, D. Šnobl, L.
Link
https://doi.org/10.1016/j.geomphys.2024.105261

Integrable systems of the ellipsoidal, paraboloidal and conical type with magnetic field

Year of publication
2024
Publication
Journal of Physics A: Mathematical and Theoretical. 2024, 57(22), 1-31. ISSN 1751-8113.
Authors
Fazlul Hoque, M. Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/ad45cd

Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields

Year of publication
2023
Publication
Journal of Physics A: Mathematical and Theoretical. 2023, 56(16), ISSN 1751-8113.
Authors
Hoque, M. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/acc55a

Cylindrical first-order superintegrability with complex magnetic fields

Year of publication
2023
Publication
Journal of Mathematical Physics. 2023, 64(6), 062101-1-062101-12. ISSN 0022-2488.
Authors
Kubů, O. Šnobl, L.
Link
https://doi.org/10.1063/5.0138095

New classes of quadratically integrable systems in magnetic fields: The generalized cylindrical and spherical cases

Year of publication
2023
Publication
Annals of Physics. 2023, 451 ISSN 0003-4916.
Authors
Kubů, O. Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1016/j.aop.2023.169264

New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type cases

Year of publication
2023
Publication
EUROPEAN PHYSICAL JOURNAL PLUS. 2023, 138(9), 1-24. ISSN 2190-5444.
Authors
Hoque, M. Kubů, O. Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1140/epjp/s13360-023-04464-6

Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion

Year of publication
2022
Publication
Journal of Physics A: Mathematical and Theoretical. 2022, 55(14), ISSN 1751-8113.
Authors
Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/ac515e

On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields

Year of publication
2021
Publication
Journal of Physics A: Mathematical and Theoretical. 2021, 54(1), ISSN 1751-8113.
Authors
Bertrand, S. Kubů, O. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/abc4b8

Superintegrability of separable systems with magnetic field: the cylindrical case

Year of publication
2021
Publication
Journal of Physics A: Mathematical and Theoretical. 2021, 54(42), ISSN 1751-8113.
Authors
Kubů, O. Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/ac2476

Cylindrical type integrable classical systems in a magnetic field

Year of publication
2020
Publication
Journal of Physics A: Mathematical and Theoretical. 2020, 53(8), ISSN 1751-8113.
Authors
Fournier, F. Šnobl, L. Winternitz, P.
Link
https://doi.org/10.1088/1751-8121/ab64a6

Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates

Year of publication
2020
Publication
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020, 16 ISSN 1815-0659.
Authors
Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.3842/SIGMA.2020.015

On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals

Year of publication
2019
Publication
Journal of Physics A: Mathematical and Theoretical. 2019, 52(19), ISSN 1751-8113.
Authors
Bertrand, S. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/ab14c2

An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals

Year of publication
2018
Publication
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018, 14 ISSN 1815-0659.
Authors
Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.3842/SIGMA.2018.092

Spherical type integrable classical systems in a magnetic field

Year of publication
2018
Publication
Journal of Physics A: Mathematical and Theoretical. 2018, 51(13), ISSN 1751-8113.
Authors
Marchesiello, A. Šnobl, L. Winternitz, P.
Link
https://doi.org/10.1088/1751-8121/aaae9b

Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables

Year of publication
2017
Publication
Journal of Physics A: Mathematical and Theoretical. 2017, 50(24), ISSN 1751-8113.
Authors
Marchesiello, A. Šnobl, L.
Link
https://doi.org/10.1088/1751-8121/aa6f68

Three-dimensional superintegrable systems in a static electromagnetic field

Year of publication
2015
Publication
Journal of Physics A: Mathematical and Theoretical. 2015, 48(39), ISSN 1751-8113.
Authors
Marchesiello, A. Šnobl, L. Winternitz, P.
Link
https://doi.org/10.1088/1751-8113/48/39/395206

Third-order superintegrable systems with potentials satisfying only nonlinear equations

Year of publication
2015
Publication
Journal of Mathematical Physics. 2015, 56(10), ISSN 0022-2488.
Authors
Marchesiello, A. Post, S. Šnobl, L.
Link
https://doi.org/10.1063/1.4933218

Invariant solutions of supersymmetric nonlinear wave equations

Year of publication
2011
Publication
Journal of Physics A: Mathematical and Theoretical. 2011, 44(8), 1-22. ISSN 1751-8113.
Authors
Grundland, A.M. Hariton, A.J. Šnobl, L.
Link
https://doi.org/10.1088/1751-8113/44/8/085204

Maximal Solvable Extensions of Filiform Algebras

Year of publication
2011
Publication
Archivum Mathematicum. 2011, 47(5), 405-414. ISSN 0044-8753.
Authors
Šnobl, L.