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- Universidad Autónoma de MadridES618 papers
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9 papers · 2 filters
A maximally superintegrable deformation of the N-dimensional quantum Kepler-Coulomb system
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The -dimensional quantum Hamiltonian is shown to be exa…
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Leonardo Colombo, Manuel de León, Pedro D. Prieto-Martínez +1
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unifie…
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a fin…
Higher-order discrete variational problems with constraints
Leonardo Colombo, David Martín de Diego, Marcela Zuccalli
An interesting family of geometric integrators for Lagrangian systems can be defined using discretizations of the Hamilton's principle of critical action. This family of geometric…
Lagrange-Poincaré reduction for optimal control of underactuated mechanical systems
Leonardo Colombo
We deal with regular Lagrangian constrained systems which are invariant under the action of a symmetry group. Fixing a connection on the higher-order principal bundle where the Lag…
Hamilton-Jacobi theory in k-cosymplectic field theories
M. de León, S. Vilariño
In this paper we extend the geometric formalism of the Hamilton-Jacobi theory for time dependent Mechanics to the case of classical field theories in the k-cosymplectic framework.