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Caudrelier, V.; Mintchev, M.; Ragoucy, E. (2004)
Publisher: American Institute of Physics
Languages: English
Types: Article
Subjects: QC, Mathematical Physics, High Energy Physics - Theory, Mathematics - Quantum Algebra, 82B23, 81R50
Identifiers:doi:10.1063/1.1842353
We establish the exact solution of the nonlinear Schrodinger equation with a delta-function impurity, representing a pointlike defect which reflects and transmits. We solve the problem both at the classical and the second quantized levels. In the quantum case the Zamolodchikov-Faddeev algebra, familiar from the case without impurities, is substituted by the recently discovered reflection-transmission (RT) algebra, which captures both particle-particle and particle-impurity interactions. The off-shell quantum solution is expressed in terms of the generators of the RT algebra and the exact scattering matrix of the theory is derived. (C) 2005 American Institute of Physics.

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