Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Šnobl, Libor"'
Autor:
Snobl, Libor
We present an example of an integrable Hamiltonian system with scalar potential in the three-dimensional Euclidean space whose integrals of motion are quadratic polynomials in the momenta, yet its Hamilton-Jacobi / Schrodinger equation cannot separat
Externí odkaz:
http://arxiv.org/abs/2408.04457
Publikováno v:
Journal of Geometry and Physics 203 (2024) 105261
We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that these results can be extended to certain curved backgrounds that, for sui
Externí odkaz:
http://arxiv.org/abs/2407.11709
Publikováno v:
Eur. Phys. J. Plus (2023) 138:845
We study quadratic integrability of systems with velocity dependent potentials in three-dimensional Euclidean space. Unlike in the case with only scalar potential, quadratic integrability with velocity dependent potentials does not imply separability
Externí odkaz:
http://arxiv.org/abs/2309.12718
Autor:
Hoque, Md Fazlul, Šnobl, Libor
Publikováno v:
Journal Of Physics A: Mathematical and Theoretical, 56 (2023) 165203
In this paper we present the construction of all nonstandard integrable systems in magnetic fields whose integrals have leading order structure corresponding to the case (i) of Theorem 1 in [A Marchesiello and L \v{S}nobl 2022 {\it J. Phys. A: Math.
Externí odkaz:
http://arxiv.org/abs/2212.05338
Autor:
Kubů, Ondřej, Šnobl, Libor
Publikováno v:
J. Math. Phys. 64, 062101 (2023)
This article is a contribution to the study of superintegrable Hamiltonian systems with magnetic fields on the three-dimensional Euclidean space $\mathbb{E}_3$ in quantum mechanics. In contrast to the growing interest in complex electromagnetic field
Externí odkaz:
http://arxiv.org/abs/2212.04141
Publikováno v:
J. Phys. A: Math. Theor. 54 015201 (2021)
We extend the investigation of three-dimensional (3D) Hamiltonian systems of non-subgroup type admitting non-zero magnetic fields and an axial symmetry, namely the circular parabolic case, the oblate spheroidal case and the prolate spheroidal case. M
Externí odkaz:
http://arxiv.org/abs/2008.01987
Autor:
Marchesiello, Antonella, Šnobl, Libor
Publikováno v:
SIGMA 16 (2020), 015, 35 pages
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We construct all possible minimally and maximally superintegrable systems in
Externí odkaz:
http://arxiv.org/abs/1911.01180
We present all second order classical integrable systems of the cylindrical type in a three dimensional Euclidean space $\mathbb{E}_3$ with a nontrivial magnetic field. The Hamiltonian and integrals of motion have the form $H =\frac{1}{2}\left(\vec{p
Externí odkaz:
http://arxiv.org/abs/1909.05307
Publikováno v:
In Annals of Physics April 2023 451
Autor:
Bertrand, Sebastien, Šnobl, Libor
The aim of the present article is to construct quadratically integrable three dimensional systems in non-vanishing magnetic fields which possess so-called non-subgroup type integrals. The presence of such integrals means that the system possesses a p
Externí odkaz:
http://arxiv.org/abs/1812.09399