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Few-Body Systems

, 60:25 | Cite as

On Formal Scattering Theory for Differential Faddeev Equations

  • S. L. YakovlevEmail author
Article
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Part of the following topical collections:
  1. Ludwig Faddeev Memorial Issue

Abstract

The formal scattering theory is developed for the three-particle differential Faddeev equations. The theory is realised along the same line as in the standard two-body case. The solution of the scattering problem is expressed in terms of the matrix T-operator constructed from the matrix resolvent of the differential Faddeev equations. The relationships of the matrix T-operator with elements of transition operators and Faddeev T-matrix components have been established.

Mathematics Subject Classification

81U10 

Notes

Acknowledgements

The author would like to thank Dr. E. Yarevsky for valuable comments.

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Computational PhysicsSaint Petersburg State UniversitySaint PetersburgRussia

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