Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Cezary Gonera"'
Publikováno v:
Nuclear Physics B, Vol 975, Iss , Pp 115664- (2022)
The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz transformation
Externí odkaz:
https://doaj.org/article/aa87480a3acb4f13bdd24cd73c9a5e59
Publikováno v:
Regular and Chaotic Dynamics. 27:561-571
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of these potentials correspond either to an isotropic harmonic oscillator or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fedb31fd62f5c970e036c0355e2589e
https://doi.org/10.1134/s1560354722050045
https://doi.org/10.1134/s1560354722050045
Autor:
Joanna Gonera, Cezary Gonera
It is known that the fairly (most?) general class of 2D superintegrable systems defined on 2D spaces of constant curvature and separating in (geodesic) polar coordinates is specified by two types of radial potentials (oscillator or (generalized) Kepl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71897c82a6dfd75c63efd5fc4c26bf28
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-15 (2019)
Journal of High Energy Physics
Journal of High Energy Physics
The quasiclassical theory of massless chiral fermions is considered. The effective action is derived using time-dependent variational principle which provides a clear interpretation of relevant canonical variables. As a result their transformation pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78b70abe7d28b8ed5bd3a3fa7093f1f6
https://hdl.handle.net/11089/39245
https://hdl.handle.net/11089/39245
Autor:
Michał Wodzisławski, Cezary Gonera
Publikováno v:
Nuclear Physics B. 863:525-541
R-matrix method is used to construct supersymmetric extensions of θ-Euclidean group preserving N=12 supersymmetry and its three-parameter generalization. These quantum symmetry supergroups can be considered as global counterparts of appropriately tw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f586fc8498770f406a6fb871bab4efe0
https://doi.org/10.1016/j.nuclphysb.2012.06.001
https://doi.org/10.1016/j.nuclphysb.2012.06.001
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:423-431
We analyze an approach aiming at determining statistical properties of spectra of time-periodic quantum chaotic system based on the parameter dynamics of their quasienergies. In particular we show that application of the methods of statistical physic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bef9492a556cfb800411219f74f6029d
https://doi.org/10.1088/1751-8113/40/3/006
https://doi.org/10.1088/1751-8113/40/3/006
Publikováno v:
Journal of Physics A: Mathematical and General. 39:343-349
It is shown that the symmetry algebra of quantum superintegrable system can be always chosen to be u(N),N being the number of degrees of freedom.
Comment: 8 pages, no figures, a number of examples and references added
Comment: 8 pages, no figures, a number of examples and references added
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90e63cfd727d90ce80fa0f62a936fdd2
https://doi.org/10.1088/0305-4470/39/2/005
https://doi.org/10.1088/0305-4470/39/2/005
Publikováno v:
Theoretical and Mathematical Physics. 144:1128-1131
The quantum dynamical systems of identical particles admitting an additional integral quadratic in momenta are considered. It is found that an appropriate ordering procedure exists which allows to convert the classical integrals into their quantum co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b4ad68f646f1d069346c26348840fb5
https://doi.org/10.1007/s11232-005-0141-7
https://doi.org/10.1007/s11232-005-0141-7
Autor:
Cezary Gonera
Publikováno v:
Journal of Physics A: Mathematical and General. 37:4085-4095
A general scheme for constructing superintegrable systems for separated Hamiltonians in an arbitrary number of degrees of freedom is presented. The resulting family contains previously known superintgrable systems with separated Hamiltonians (in Cart
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3210c99c2e67335fe878e86a54e44f00
https://doi.org/10.1088/0305-4470/37/13/011
https://doi.org/10.1088/0305-4470/37/13/011
Autor:
Cezary Gonera
Publikováno v:
Physics Letters A. 376:2341-2343
The superintegrability of so-called Tremblay–Turbiner–Winternitz (TTW) model has been conjectured on the basis of the fact that all its trajectories are closed. This conjecture has been proven using the method based on solving the partial differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d657cd3dabb9e0245a88196878eea22
https://doi.org/10.1016/j.physleta.2012.06.006
https://doi.org/10.1016/j.physleta.2012.06.006