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Solving the quantum non-linear Schrodinger equation with delta-type impurity.

Caudrelier, V., Mintchev, M. and Ragoucy, E. (2005) Solving the quantum non-linear Schrodinger equation with delta-type impurity. Journal of Mathematical Physics, 46. 042703-1. ISSN 0022-2488

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We establish the exact solution of the nonlinear Schrödinger 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.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Physics (York)
Depositing User: York RAE Import
Date Deposited: 20 Apr 2009 09:55
Last Modified: 20 Apr 2009 09:55
Published Version: http://dx.doi.org/10.1063/1.1842353
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.1842353
URI: http://eprints.whiterose.ac.uk/id/eprint/6746

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