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We solve the longstanding problem to define a functional characterization of the spectrum of the transfer matrix associated to the most general spin-1/2 representations of the 6-vertex reflection algebra for general inhomogeneous chains.
Zür Theorie der Metalle I. Eigenwerte und Eigenfunktionen Atomkete
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R. Baxter · 1972
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R. J. Baxter · 1972
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L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan · 1979
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The quantum method of the inverse problem and the Heisenberg XYZ model
L. A. Takhtajan and L. D. Faddeev · 1979
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Factorizing particles on a half-line and root systems
I. V. Cherednik · 1984
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E. K. Sklyanin · 1985
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E. Sklyanin · 1988
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E. K. Sklyanin · 1989
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Poisson structure of classical XXZ chain. J. Soviet Math
E. K. Sklyanin · 1989
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E. K. Sklyanin · 1992
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Form factors of the X X Z XXZ Heisenberg spin-1/2 finite chain
N. Kitanine, J. M. Maillet, and V. Terras · 1999
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Correlation functions of the X X Z XXZ heisenberg spin-1/2 chain in a magnetic field
N. Kitanine, J. M. Maillet, and V. Terras · 2000
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On the quantum inverse scattering problem
J. M. Maillet and V. Terras · 2000
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Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
R. I. Nepomechie · 2002
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Exact solution of X X Z XXZ spin chain with unparallel boundary fields
J. Cao, H.-Q. Lin, K.-J. Shi, and Y. Wang · 2003
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Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
R. I. Nepomechie and F. Ravanini, · 2003
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Bethe ansatz for the Temperley-Lieb loop model with open boundaries
J. de Gier and P. Pyatov · 2004
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Bethe ansatz solution of the open X X Z XXZ chain with nondiagonal boundary terms
R. I. Nepomechie · 2004
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Addendum to ‘Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms’
R. I. Nepomechie and F. Ravanini, · 2004
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A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
P. Baseilhac, K. Koizumi · 2005
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Bethe ansatz solution of the asymmetric exclusion process with open boundaries
J. de Gier and F. H. L. Essler · 2005
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Bethe ansatz derived from the functional relations of the open XXZ chain for new special cases
The sine-Gordon model revisited: I
G. Niccoli and J. Teschner · 2010
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Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
G. Filali and N. Kitanine · 2011
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Functional Bethe ansatz methods for the open XXX chain
H. Frahm, J. H. Grelik, A. Seel, T. Wirth · 2011
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Completeness of Bethe Ansatz by Sklyanin SOV for Cyclic Representations of Integrable Quantum Models
G. Niccoli · 2011
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Open XXZ spin chain: Nonequilibrium steady state and a strict bound on ballistic transport
T. Prosen · 2011
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Generalized coordinate Bethe ansatz for non-diagonal boundaries
N. Crampé, E. Ragoucy · 2012
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R. Murgan and R. I. Nepomechie · 2005
Cited alongside, same era.
One-boundary Temperley-Lieb algebras in the XXZ and loop models
A. Nichols, V. Rittenberg and J. de Gier · 2005
Cited alongside, same era.
The q q -deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
P. Baseilhac · 2006
Cited alongside, same era.
Exact spectral gaps of the asymmetric exclusion process with open boundaries
J. de Gier and F. H. L. Essler · 2006
Cited alongside, same era.
On correlation functions of the open X X Z XXZ chain I
N. Kitanine, K. Kozlowski, J. Maillet, G. Niccoli, N. Slavnov, and V. Terras · 2007
Cited alongside, same era.
On the second reference state and complete eigenstates of the open X X Z XXZ chain
W.-L. Yang and Y.-Z. Zhang · 2007
Cited alongside, same era.
Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
W. Galleas · 2008
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On the form factors of local operators in the lattice sine-Gordon model
N. Grosjean, J. M. Maillet, and G. Niccoli · 2012
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J. Stat. Mech
N. Grosjean, G. Niccoli, The τ 2 \tau_{2} -model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin’s SOV method · 2012
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Non-diagonal open spin 1/2 XXZ quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators
G. Niccoli · 2012
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Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
J. Cao, W. Yang, K. Shi, and Y. Wang · 2013
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Off-diagonal Bethe ansatz and exact solution a topological spin ring
J. Cao, W. Yang, K. Shi, and Y. Wang · 2013
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Off-diagonal bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
J. Cao, W. Yang, K. Shi, and Y. Wang · 2013
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Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz
J. Cao, W. Yang, K. Shi, and Y. Wang · 2013
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Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
G. Niccoli · 2013
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Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
G. Niccoli · 2013
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Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
G. Niccoli · 2013
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