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Autor:
Palomares, F., Ruiz-Villar, H., Morales-González, A., Calzada, J., Román, J., Rivilla, J.C., Revilla, E., Fernández-Gil, A., Delibes, M.
Publikováno v:
In Quaternary Science Reviews 15 May 2022 284
A kind of systems on the sphere, whose trajectories are similar to the Lissajous curves, are studied by means of one example. The symmetries are constructed following a unified and straightforward procedure for both the quantum and the classical vers
Externí odkaz:
http://arxiv.org/abs/1404.7064
In a previous work, both the constants of motion of a classical system and the symmetries of the corresponding quantum version have been computed with the help of factorizations. As their expressions were not polynomial, in this paper the question of
Externí odkaz:
http://arxiv.org/abs/1404.7066
Autor:
Chamorro-Posada, P., Martín-Ramos, P., Sánchez-Curto, J., Garcia-Escartin, J. C., Calzada, J. A., Palencia, C., Durán, A.
Publikováno v:
J. Opt. 14 (2012) 015205 (9pp)
We study nonlinear wave phenomena in coupled ring resonator optical waveguides in the tight coupling regime. A discrete model for the system dynamics is put forward and its steady state nonlinear Bloch modes are derived. The switching behavior of the
Externí odkaz:
http://arxiv.org/abs/1012.3286
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting them. It is shown that such intertwining operators close a su(2,1) Lie algebra and determi
Externí odkaz:
http://arxiv.org/abs/0803.2117
A class of two-dimensional superintegrable systems on a constant curvature surface is considered as the natural generalization of some well known one-dimensional factorized systems. By using standard methods to find the shape-invariant intertwining o
Externí odkaz:
http://arxiv.org/abs/math-ph/0601067
We study the dynamical symmetries of a class of two-dimensional superintegrable systems on a 2-sphere, obtained by a procedure based on the Marsden-Weinstein reduction, by considering its shape-invariant intertwining operators. These are obtained by
Externí odkaz:
http://arxiv.org/abs/nlin/0601069
Integrable systems in low dimensions, constructed through the symmetry reduction method, are studied using phase portrait and variable separation techniques. In particular, invariant quantities and explicit periodic solutions are determined. Widely a
Externí odkaz:
http://arxiv.org/abs/solv-int/9810010
Publikováno v:
Conservation Biology, 2000 Jun 01. 14(3), 809-818.
Externí odkaz:
https://www.jstor.org/stable/2641440