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The quantum integrability is established for the one-dimensionalsupersymmetric $U$ model with boundary terms by means of the quantum inversescattering method. The boundary supersymmetric $U$ chain is solved by using thecoordinate space Bethe ansatz technique and Bethe ansatz equations are derived.This provides us with a basis for computing the finite size corrections to thelow lying energies in the system.Comment: 4 pages, RevTex. Some cosmetic changes. The version to appear in  Phys. Rev.

physical review. b, condensed matter

Quantum integrability and exact solution of the supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi></mml:math>model with boundary terms

Quantum integrability and exact solution of the supersymmetricUmodel with boundary terms