Distribution of zeros of the Husimi function in a realistic Hamiltonian molecular system

Arranz Saiz, Francisco Javier and Borondo Rodríguez, Florentino and Benito Zafrilla, Rosa Maria (1996). Distribution of zeros of the Husimi function in a realistic Hamiltonian molecular system. "Physical Review E", v. 54 (n. 3); pp. 2458-2464. ISSN 2470-0045. https://doi.org/10.1103/PhysRevE.54.2458.

Description

Title: Distribution of zeros of the Husimi function in a realistic Hamiltonian molecular system
Author/s:
  • Arranz Saiz, Francisco Javier
  • Borondo Rodríguez, Florentino
  • Benito Zafrilla, Rosa Maria
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 1 September 1996
ISSN: 2470-0045
Volume: 54
Subjects:
Faculty: E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM)
Department: Ingeniería Agroforestal
UPM's Research Group: Sistemas Complejos GSC
Creative Commons Licenses: Recognition - Non commercial - Share

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Abstract

In this paper we numerically check the validity of a theory on the distribution of zeros of the Husimi function due to Leboeuf and Voros [J. Phys. A 23, 1765 (1990)] for the integrability or chaoticity of a dynamical system in conditions which are not covered in the original proof. Our results for a generic Hamiltonian model for the LiCN molecule indicate also that in this case the conclusions of these authors hold. We have also found that this criterion is related to that proposed by Stratt, Handy and Miller based on the nodal complexity of the wave function [J. Chem. Phys. 71, 9911 (1979)]. Also, for scarred states there is a relation between the positions of the zeros and the fixed points of the Poincaré map corresponding to the scarring periodic orbit, which is the main result of the paper.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainPB92-0181UnspecifiedUnspecifiedUnspecified

More information

Item ID: 49368
DC Identifier: http://oa.upm.es/49368/
OAI Identifier: oai:oa.upm.es:49368
DOI: 10.1103/PhysRevE.54.2458
Official URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.54.2458
Deposited by: Profesor contratado doctor Francisco Javier Arranz Saiz
Deposited on: 05 Feb 2018 08:09
Last Modified: 05 Feb 2018 08:09
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