Unveiling the chaotic structure in phase space of molecular systems using Lagrangian descriptors

F Revuelta, RM Benito, F Borondo - Physical Review E, 2019 - APS
We explore here the feasibility of using the recently introduced Lagrangian descriptors [AM
Mancho, Commun. Nonlinear Sci. Numer. Simul. 18, 3530 (2013) 1007-5704 10.1016/j …

Exact distribution of spacing ratios for random and localized states in quantum chaotic systems

SH Tekur, S Kumar, MS Santhanam - Physical Review E, 2018 - APS
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well
approximated as random states. Corresponding eigenvalue spectra are modeled through an …

Identification of the invariant manifolds of the LiCN molecule using Lagrangian descriptors

F Revuelta, RM Benito, F Borondo - Physical Review E, 2021 - APS
In this paper, we apply Lagrangian descriptors to study the invariant manifolds that emerge
from the top of two barriers existing in the LiCN⇌ LiNC isomerization reaction. We …

Geometrodynamic approach to conjugate points and the Maslov index

A Vergel, J Montes, F Borondo - Physical Review E, 2022 - APS
Maslov indices are an essential ingredient in the semiclassical approaches to quantum
mechanics, as they are also related to the conjugate points of the corresponding trajectory …

Short-periodic-orbit method for excited chaotic eigenfunctions

F Revuelta, E Vergini, RM Benito, F Borondo - Physical Review E, 2020 - APS
An alternative method for the calculation of excited chaotic eigenfunctions in arbitrary energy
windows is presented. We demonstrate the feasibility of using wave functions localized on …

Above saddle-point regions of order in a sea of chaos in the vibrational dynamics of KCN

H Párraga, FJ Arranz, RM Benito… - The Journal of Physical …, 2018 - ACS Publications
The dynamical characteristics of a region of regular vibrational motion in the sea of chaos
above the saddle point corresponding to the linear C–N–K configuration is examined in …

Bohr-Sommerfeld-like quantization in the theory of walking droplets

J Montes, F Revuelta, F Borondo - Physical Review E, 2021 - APS
Recent experiments have shown that self-propelled millimetric walking droplets bouncing on
a vibrating liquid surface exhibit phenomena, such as interference or tunneling, that so far …

[HTML][HTML] Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors

F Revuelta, FJ Arranz, RM Benito, F Borondo - … in Nonlinear Science and …, 2023 - Elsevier
In this work, we identify the phase-space structures which are responsible for the chaotic
dynamics observed in KCN molecular system using the Lagrangian descriptors. We show …

Semiclassical basis sets for the computation of molecular vibrational states

F Revuelta, E Vergini, RM Benito… - The Journal of chemical …, 2017 - pubs.aip.org
In this paper, we extend a method recently reported [F. Revuelta et al., Phys. Rev. E 87,
042921 (2013)] for the calculation of the eigenstates of classically highly chaotic systems to …

Using correlation diagrams to study the vibrational spectrum of highly nonlinear floppy molecules: The K-CN case

H Párraga, FJ Arranz, RM Benito, F Borondo - Physical Review E, 2020 - APS
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 states …