Modern Physics Letters B

EXACT SOLVING q DEFORMED BOSON MODEL UNDER OPEN BOUNDARY CONDITION

Bo Li, Yanshen Wang

Published Dec 13, 2011• 4 citations

Abstract

Utilizing the algebraic Bethe–Ansatz method, the Hamiltonian of q deformed boson model and its eigenvalue equation are calculated under the integrable open boundary condition. Rely on them, we give the exact energy spectrum and discuss two limit cases of the model.

DOI: 10.1142/s0217984911500084

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Modern Physics Letters B

EXACT SOLVING q DEFORMED BOSON MODEL UNDER OPEN BOUNDARY CONDITION

Bo Li, Yanshen Wang

Published Dec 13, 2011• 4 citations

Publisher

Abstract

DOI: 10.1142/s0217984911500084

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arXiv:cond-mat/9908054Journal of Physics A Mathematical and GeneralJul 19, 200041 citations

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Exact solution of the $SU_{q}(n)$ invariant quantum spin chainsExact solution of the $SU_{q}(n)$ invariant quantum spin chains

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Exact solution of the

SU_{q}(n)

invariant quantum spin chains

The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the

A_{n-1}

vertex model with fixed open boundary conditions and the corresponding

SU_{q}(n)

invariant hamiltonian. The Bethe Ansatz equations obtained are solved in the thermodynamic limit giving the vertex model free energy and the hamiltonian ground state energy including the corresponding boundary contributions.