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
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.
|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|
|Publisher:||American Institute of Physics|