9 papers
Hamiltonian reduction from particular integrals
R. Azuaje, A. M. Escobar-Ruiz, I. Gutierrez-Sagredo
We develop a geometric reduction mechanism generated by systems of particular integrals, namely, families of functions whose time derivatives close linearly on the family. Their co…
The Fock-Darwin-Darboux system: eigenstates, information entropies and dispersion-like measures
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo
The Fock-Darwin (FD) quantum system describes the motion on the plane of a charged particle under the action of an isotropic oscillator potential together with a perpendicular cons…
Universal -matrices for quantum Poincaré groups: contractions and quantum reference frames
Angel Ballesteros, Diego Fernandez-Silvestre, Ivan Gutierrez-Sagredo
Universal -matrices, or Hopf algebra dual forms, for quantum groups are revisited, and their contraction theory is developed. As a first illustrative example, the (1+1) timelike…
Generalized classical and quantum Zernike Hamiltonians
Francisco J. Herranz, Alfonso Blasco, Rutwig Campoamor-Stursberg +3
A superintegrable generalization of the classical and quantum Zernike systems is reviewed. The corresponding Hamiltonians are endowed with higher-order integrals and can be interpr…
Rényi and Tsallis information entropies for the Darboux III quantum nonlinear oscillator
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. Its one-dimension…
Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +1
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduc…