Unveiling the chaotic structure in phase space of molecular systems using Lagrangian descriptors
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 …
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
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well
approximated as random states. Corresponding eigenvalue spectra are modeled through an …
approximated as random states. Corresponding eigenvalue spectra are modeled through an …
Identification of the invariant manifolds of the LiCN molecule using Lagrangian descriptors
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 …
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 …
mechanics, as they are also related to the conjugate points of the corresponding trajectory …
Short-periodic-orbit method for excited chaotic eigenfunctions
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 …
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
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 …
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 …
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
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 …
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 …
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
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 …
variable parameter have proven as a very useful tool to study vibrational molecular states …