Extended Hilbert space approach to few‐body problems

A general formulation of the quantum scattering theory for a system of few particles, which have an internal structure, is given. Due to freezing out the internal degrees of freedom in the external channels, a certain class of energy‐dependent potentials is generated. By means of potential theory, a...

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Veröffentlicht in:Journal of mathematical physics 1990-07, Vol.31 (7), p.1681-1690
Hauptverfasser: Kuperin, Yu. A., Makarov, K. A., Merkuriev, S. P., Motovilov, A. K., Pavlov, B. S.
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container_end_page 1690
container_issue 7
container_start_page 1681
container_title Journal of mathematical physics
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creator Kuperin, Yu. A.
Makarov, K. A.
Merkuriev, S. P.
Motovilov, A. K.
Pavlov, B. S.
description A general formulation of the quantum scattering theory for a system of few particles, which have an internal structure, is given. Due to freezing out the internal degrees of freedom in the external channels, a certain class of energy‐dependent potentials is generated. By means of potential theory, a modified Faddeev equation is derived both in external and internal channels. The Fredholmity of these equations is proven and this is what provides a sound basis for solving the addressed scattering problem.
doi_str_mv 10.1063/1.528715
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subjects Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
title Extended Hilbert space approach to few‐body problems
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