Campus Units

Physics and Astronomy, Mathematics, Chemistry, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

1983

Journal or Book Title

Journal of Mathematical Physics

Volume

24

Issue

3

First Page

576

Last Page

587

DOI

10.1063/1.525730

Abstract

The time‐independent scattering theory associated with the non‐self‐adjoint matrix Hamiltonians H of arrangement channel quantum mechanics is presented in detail first using the 3‐particle case as an example. A key feature is the biorthogonality of a suitably constructed set of scattering eigenvectors and duals. Channel space Möller operators, S‐ and T‐matrices are defined and a variety of properties investigated including the way multichannel unitarity is embedded into the theory. Some remarks on the time‐dependent theory are also made. A detailed discussion of channel space density matrix scattering theory(of interest, e.g., in reactive kinetic theory) is presented using the Liouville representation. We describe some special cases including the exclusion of breakup and 2×2 choices of three particle H.

Comments

This article is published as Evans, J. W., D. K. Hoffman, and D. J. Kouri. "Scattering theory in arrangement channel quantum mechanics." Journal of Mathematical Physics24, no. 3 (1983): 576-587, doi:10.1063/1.525730. Posted with permission.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

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