Results 31 to 40 of about 132,022 (206)
On the ODE/IM correspondence for minimal models [PDF]
Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c < 1 emerge naturally from the monodromy properties of certain families of ordinary differential ...
Dunning, Clare +3 more
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On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T − Q relation, and the ...
Pei Sun +7 more
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Bethe states of the trigonometric SU(3) spin chain with generic open boundaries
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries.
Pei Sun +9 more
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Spectrum of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic boundary fields
Exact solution of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered ...
Guang-Liang Li +4 more
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Introduction to the Bethe Ansatz I
The Bethe ansatz for the one-dimensional s=1/2 Heisenberg ferromagnet is introduced at an elementary level. The presentation follows Bethe's original work very closely. A detailed description and a complete classification of all two-magnon scattering states and two-magnon bound states are given for finite and infinite chains. The paper is designed as a
Michael Karabach +3 more
openaire +3 more sources
Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates [PDF]
Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z.
Schütz, G. M., Rákos, Attila Gábor
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ALGEBRAIC ASPECTS OF THE BETHE ANSATZ [PDF]
In this article an introduction to the algebraic aspects of the Bethe ansatz is given. The applications to the seminal spin 1/2 XXX model are discussed in detail and the generalization to higher spin as well as XXZ and the lattice sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models are explained.
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The Bethe-Ansatz for Gaudin Spin Chains [PDF]
We investigate a special case of the quantum integrable Heisenberg spin chain known as Gaudin model. The Gaudin model is an important example of quantum integrable systems. We study the Gaudin model for the Lie algebra s[z(
Kowalik, Ilona
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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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The spectrum of quantum-group-invariant transfer matrices
Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv ...
Rafael I. Nepomechie, Ana L. Retore
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