Compound nucleus in Livsic open-system theory: Factorization of the S matrix

Y. Avishai

doi:10.1103/PhysRevA.38.584

Compound nucleus in Livsic open-system theory: Factorization of the S matrix

Y. Avishai

Department of Physics

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Abstract

The compound-nucleus system fits into a mathematical theory of open systems in physics developed by the mathematician M. Livsic [Translations of Mathematical Monographs (American Mathematical Society, Providence, Rhode Island, 1973), Vol. 34]. In this article we review some basic concepts of the above theory and apply it to study the structure of the compound-nucleus S matrix. One of the results is a factorization of the S matrix in the form S()=S +iAk/(k-)], where Ak are known matrices and k are the complex resonance energies.

Original language	English
Pages (from-to)	584-590
Number of pages	7
Journal	Physical Review A
Volume	38
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.38.584
State	Published - 1 Jan 1988

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.38.584

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title = "Compound nucleus in Livsic open-system theory: Factorization of the S matrix",

abstract = "The compound-nucleus system fits into a mathematical theory of open systems in physics developed by the mathematician M. Livsic [Translations of Mathematical Monographs (American Mathematical Society, Providence, Rhode Island, 1973), Vol. 34]. In this article we review some basic concepts of the above theory and apply it to study the structure of the compound-nucleus S matrix. One of the results is a factorization of the S matrix in the form S()=S +iAk/(k-)], where Ak are known matrices and k are the complex resonance energies.",

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AB - The compound-nucleus system fits into a mathematical theory of open systems in physics developed by the mathematician M. Livsic [Translations of Mathematical Monographs (American Mathematical Society, Providence, Rhode Island, 1973), Vol. 34]. In this article we review some basic concepts of the above theory and apply it to study the structure of the compound-nucleus S matrix. One of the results is a factorization of the S matrix in the form S()=S +iAk/(k-)], where Ak are known matrices and k are the complex resonance energies.

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Compound nucleus in Livsic open-system theory: Factorization of the S matrix

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