What question did this study set out to answer?

To establish a unified theoretical framework describing the branching of collision complex eigenfunctions into fragmentation channels, incorporating bound and resonant states.

November 1, 1981Physical Review A

Unified treatment of collisions

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Authors

UFU. Fano

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Overview

Theoretical analysis reveals a unified formulation for collision branching using Jost matrices, highlighting a single framework for resonant and bound states.

Key Points

To establish a unified theoretical framework describing the branching of collision complex eigenfunctions into fragmentation channels, incorporating bound and resonant states.
Modeled the propagation of collision complex eigenfunctions from condensed-complex to fragmented-complex limits across nonadiabatic regions.
Employed Jost matrices composed of asymptotic expansion coefficients from base eigenfunctions to derive scattering matrices and cross sections.
Demonstrated that branching ratios into fragmented channels are governed by localized nonadiabatic propagation processes.
Formulated a combined framework that seamlessly links scattering cross sections with both resonant and bound states of the collision complex.

Cite This Study

U. Fano (1981) studied this question.

synapsesocial.com/papers/6a7e20a2c007b0bf8fb1f04d https://doi.org/10.1103/physreva.24.2402

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November 1, 1981Physical Review A

Unified treatment of collisions

View Full Paper

Ask AI

Bookmark

Authors

UFU. Fano

Discussion

Member takes

Overview

Theoretical analysis reveals a unified formulation for collision branching using Jost matrices, highlighting a single framework for resonant and bound states.

Key Points

To establish a unified theoretical framework describing the branching of collision complex eigenfunctions into fragmentation channels, incorporating bound and resonant states.
Modeled the propagation of collision complex eigenfunctions from condensed-complex to fragmented-complex limits across nonadiabatic regions.
Employed Jost matrices composed of asymptotic expansion coefficients from base eigenfunctions to derive scattering matrices and cross sections.
Demonstrated that branching ratios into fragmented channels are governed by localized nonadiabatic propagation processes.
Formulated a combined framework that seamlessly links scattering cross sections with both resonant and bound states of the collision complex.

Cite This Study

U. Fano (1981) studied this question.

synapsesocial.com/papers/6a7e20a2c007b0bf8fb1f04d https://doi.org/10.1103/physreva.24.2402

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