23 citations · 46 across the 7 of their papers we have counts for
7 papers
Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case
H. Párraga, F. J. Arranz, R. M. Benito +1
The correlation diagrams of vibrational energy levels considering the Planck constant as a variable parameter have proven as a very useful tool to study vibrational molecular state…
Correspondence between classical and quantum resonances
F. J. Arranz, R. M. Benito, F. Borondo
Bifurcations take place in molecular Hamiltonian nonlinear systems as the excitation energy increases, this leading to the appearance of different classical resonances. In this pap…
Using Lagrangian descriptors to calculate the Maslov index of periodic orbits
J. Montes, F. J. Arranz, F. Borondo
The Maslov index of a periodic orbit is an important piece in the semiclassical quantization of non-integrable systems, while almost all existing techniques that lead to a rigorous…
Bifurcations and phase-space structures in KCN molecular system
F. Revuelta, F. J. Arranz, R. M. Benito +1
In this work, we analyze the evolution of the phase-space structures of KCN molecular system as a function of the vibrational energy using Lagrangian descriptors. For low energies,…
Order-chaos transition in correlation diagrams and quantization of period orbits
F. J. Arranz, J. Montes, F. Borondo
Eigenlevel correlation diagrams has proven to be a very useful tool to understand eigenstate characteristics of classically chaotic systems. In particular, we showed in a previous…
Maximum population transfer in a periodically driven two-level system
P. M. Poggi, F. J. Arranz, R. M. Benito +2
We study the dynamics of a two-level quantum system under the influence of sinusoidal driving in the intermediate frequency regime. Analyzing the Floquet quasienergy spectrum, we f…
The Poincare-Birkhoff theorem in Quantum Mechanics
D. A. Wisniacki, M. Saraceno, F. J. Arranz +2
Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincaré--Birkhoff theorem, are shown to exist. They are embedded in t…