Wigner‐Smith delay times and the non‐Hermitian Hamiltonian for the HOCl molecule | Zendy

Barr A.M. | Zendy; Reichl L.E. | Zendy

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Wigner‐Smith delay times and the non‐Hermitian Hamiltonian for the HOCl molecule

Author(s) -

Barr A.M.,

Reichl L.E.

Publication year - 2013

Publication title -

fortschritte der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.469

H-Index - 71

eISSN - 1521-3978

pISSN - 0015-8208

DOI - 10.1002/prop.201200045

Subject(s) - scattering , hamiltonian (control theory) , hermitian matrix , eigenvalues and eigenvectors , physics , dimer , quantum mechanics , mathematical physics , scattering theory , matrix (chemical analysis) , molecule , chemistry , mathematics , nuclear magnetic resonance , mathematical optimization , chromatography

We construct the scattering matrix for a two‐dimensional model of a Cl atom scattering from an OH dimer. We show that the scattering matrix can be written in terms of a non‐Hermitian Hamiltonian whose complex energy eigenvalues can be used to compute Wigner‐Smith delay times for the Cl‐OH scattering process. We compute the delay times for a range of energies, and show that the scattering states with the longest delay times are strongly influenced by unstable periodic orbits in the classical dynamics.

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