Standing-wave rearrangement scattering formalism for multiarrangement quantum-defect theory

A. Matzkin
Phys. Rev. A 59, 2043 – Published 1 March 1999
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Abstract

Nonrelativistic time-independent quantum scattering theory for collisions with rearrangements is investigated for standing-wave solutions, principal-value Green’s operators, and related reaction operators. The solutions corresponding to different arrangement configurations are obtained directly from the properties of the noninvertible Green’s operators, without having recourse to arguments based on unitarity. By casting multichannel quantum defect theory (MQDT) as a particular case of standing-wave scattering, a formalism for multiarrangement MQDT is presented and methods for calculating the wave functions and reaction matrices are proposed. The formalism is illustrated in connection with current work on ionization and dissociation in H2.

  • Received 17 August 1998

DOI:https://doi.org/10.1103/PhysRevA.59.2043

©1999 American Physical Society

Authors & Affiliations

A. Matzkin

  • Laboratoire Aimé-Cotton du CNRS, Université de Paris–Sud, 91405 Orsay, France

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Vol. 59, Iss. 3 — March 1999

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