1998/11/30 by Chun-Woo Lee, Chun‐Woo Lee · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Combinatorics #Dimensionless quantity #Electron Spin Resonance Studies #Energy (signal processing) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Order (exchange) #Physics #Quantum mechanics #Quantum optics and atomic interactions #Resonance (particle physics) #State (computer science) #Term (time) #physics.atom-ph
paper · pdf · doi:10.1103/physreva.58.4581
published as Phys. Rev. A 58, 4581 (1998) · 17 pages, 3 figures, RevTeX
openalex publication_date 1998/12/01 · arxiv created 1999/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Eigenphase shifts and eigentime delays near a resonance for a system of one discrete state and two continua are shown to be functionals of the Beutler-Fano formula using appropriate dimensionless energy units and line profile indices. Parameters responsible for the avoided crossing of eigenphase shifts and eigentime delays are identified. Similarly, parameters responsible for the eigentime delays due to a frame change are identified. With the help of new parameters, an analogy with the spin model is pursued for the S matrix and time delay matrix Q. The S matrix is found to be put into exp[i(a+b\stackrel\ensuremath→\ensuremathσ\ensuremath⋅\mathrmn\ifmmode \else \\fi)]. The time delay matrix Q is shown to be given as Q=(1)/(2)\ensuremathτr(1+Pa\ensuremath⋅\stackrel\ensuremath→\ensuremathσ+Pf\ensuremath⋅\stackrel\ensuremath→\ensuremathσ), where the first term is the time delay due to resonance, the second term is the one due to avoided crossing interaction, and the last term is the one due to a frame change. It is found that Pa2+Pf2=1.