loading page

Crámer-Rao complexity of the two-dimensional confined hydrogen
  • +1
  • Carlos Estañón,
  • Norberto Aquino,
  • David Puertas-Centeno,
  • Jesus Sanchez-Dehesa
Carlos Estañón
Universidad Autónoma Metropolitana Iztapalapa
Author Profile
Norberto Aquino
UAM
Author Profile
David Puertas-Centeno
Universidad Rey Juan Carlos
Author Profile
Jesus Sanchez-Dehesa
Universidad de Granada
Author Profile

Abstract

The internal disorder of the two-dimensional confined hydrogenic atom is numerically studied in terms of the confinement radius for the 1s, 2s, 2p and 3d quantum states by means of the statistical Crámer-Rao complexity measure. First, the confinement dependence of the variance and the Fisher information of the position and momentum spreading of its electron distribution are computed and discussed. Then, the Crámer-Rao complexity measure (which quantifies the combined balance of the charge concentration around the mean value and the gradient content of the electron distribution) is investigated in position and momentum spaces. We found that confinement does disentangle complexity of the system for all quantum states by means of this two component measure.

Peer review status:ACCEPTED

08 May 2020Submitted to International Journal of Quantum Chemistry
12 May 2020Submission Checks Completed
12 May 2020Assigned to Editor
22 May 2020Reviewer(s) Assigned
15 Jun 2020Review(s) Completed, Editorial Evaluation Pending
23 Jun 2020Editorial Decision: Revise Major
06 Jul 20201st Revision Received
07 Jul 2020Submission Checks Completed
07 Jul 2020Assigned to Editor
20 Jul 2020Reviewer(s) Assigned
20 Jul 2020Review(s) Completed, Editorial Evaluation Pending
20 Jul 2020Editorial Decision: Accept