93 citations · 2.1k across the 117 of their papers we have counts for
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On the spectrum of a Hamiltonian defined on su_q(2) and quantum optical models
Angel Ballesteros, Sergei M. Chumakov
Analytical expressions are given for the eigenvalues and eigenvectors of a Hamiltonian with su_q(2) dynamical symmetry. The relevance of such an operator in Quantum Optics is discu…
On quantum algebra symmetries of discrete Schrödinger equations
Angel Ballesteros, Francisco J. Herranz, Javier Negro +1
Two non-standard quantum deformations of the (1+1) Schrödinger algebra are identified with the symmetry algebras of either a space or time uniform lattice discretization of the Sch…
Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Multiparametric quantum deformations of are studied through a complete classification of Lie bialgebra structures. From them, the non-relativistic limit leading to…
Long range integrable oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
Completely integrable Hamiltonians defining classical mechanical systems of coupled oscillators are obtained from Poisson realizations of Heisenberg--Weyl, harmonic oscillator…
A systematic construction of completely integrable Hamiltonians from coalgebras
Angel Ballesteros, Orlando Ragnisco
A universal algorithm to construct N-particle (classical and quantum) completely integrable Hamiltonian systems from representations of coalgebras with Casimir element is presented…