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The R matrix: Its relation to titchmarsh-Weyl theory and its complex rotated analogue (1986)

Elander, Nils ; Krylstedt, Peter ; Brändas, Erkki ; [et al.]

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 30 (1986), S. 73-80

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The R matrix theory in its simplest form is discussed and analyzed in terms of the classical Titchmarsh-Weyl's theory for a singular second order differential equation. It is observed that the R matrix described as an abstract R operator is contained in the framework of Weyls classical extension to an infinite interval of finite Sturm-Liuoville theory. As a result we find that the exterior complex rotation method can be synthesized with the R matrix theory to obtain a method for deriving the S matrix poles out in the complex energy or momentum planes.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/qua.560300710

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