[PDF] Top 20 Bethe ansatz for the Ruijsenaars model of BC1- type
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Bethe ansatz for the Ruijsenaars model of BC1- type
... operator acting by (T γ f )(z) = f(z + γ). This operator, which first appeared in E. Sklyanin’s work [15, 16], can be viewed as a difference version of the Lam´e operator −d 2 /dz 2 +m(m+1)℘(z). It was observed by ... See full document
10
Quantum relativistic Toda chain at root of unity: isospectrality, modified Q operator, and functional Bethe ansatz
... spin model called quantum relativistic Toda chain and based on the unitary finite-dimensional representations of the Weyl algebra with q being Nth primitive root of ... See full document
41
Two dimensional gauge theories and quantum integrable systems
... certain type of two-dimensional Yang-Mills theory and the Bethe Ansatz equations for the quantum theory of the Nonlinear Schr¨ oinger equation was ...of Bethe Ansatz equations in ... See full document
29
Thermodynamic Bethe Ansatz for the AdS 5 x S^5 Mirror Model
... When L is large but finite, the multi-particle states can be approximately de- scribed by the wave function of the Bethe-type [8]. Factorizability of the multi- particle scattering together with the ... See full document
32
Quantum description of dark solitions in one dimensional quantum gases : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics at Massey University, Albany, New Zealand
... The main objective of this thesis is to explain, from the quantum-mechanical point of view, the nature of dark solitons in one-dimensional cold-atom systems. Models of bosons and fermions with contact interactions on a ... See full document
9
Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
... algebraic Bethe ansatz if the R-matrix intertwining the monodromy matrices of the model can be written in a six-vertex ...of type so 2n ... See full document
37
Thermodynamic Bethe Ansatz with Haldane Statistics
... In the derivation of the TBA-equation the underlying statistical interac- tion (also called exclusion statistics) is usually taken to be either of bosonic or fermionic type. Seven years ago Haldane [7] proposed a ... See full document
25
Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
... algebraic Bethe ansatz if the R-matrix intertwining the monodromy matrices of the model can be written in a six- vertex ...of type D ... See full document
30
Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
... As already mentioned, when interpreted as partition functions, the character formulae of the preceding sections possess some fermionic realizations. These representations emerge in two different types. One of them is ... See full document
21
Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... the Bethe ansatz equations, which are the outcome of dragging one soliton, say of type A = (a, i), along the world ...of Bethe Ansatz ... See full document
31
Excited states in Bethe ansatz solvable models and the dressing of spin and charge
... the Bethe strings in the thermody- namic limit. The Bethe strings are parametrised by a rapidity variable that is real whereas, as we have mentioned, their constituents (the roots of the Bethe ... See full document
39
Form factors of integrable Heisenberg (higher) spin chains
... the Bethe ansatz approach and the solution of the quantum inverse scattering problem for higher spins to obtain determinant formulae for the form factors of spin operators of general integrable Heisenberg ... See full document
25
Integrability of Bukhvostov-Lipatov model and ODE/IQFT correspondence
... The starting point of this study is O(3) non-linear sigma model in two space- time dimensions. For this theory, the contribution of instanton configurations to partition function was computed (including quadratic ... See full document
140
The Thermodynamics and Fractional Statistics of the Spinor Bose Gas
... The Bethe ansatz was introduced in 1931 by Hans Bethe [24] as a proposed method to obtain the eigenspectrum of the one-dimensional Heisenberg ...the Bethe-Hulth´ en hypothesis [25], which ... See full document
87
The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: The massive sector
... resulting Bethe ansatz, which describes the massive sector of the corresponding string theory, and discuss its weak and strong coupling ...the Bethe ansatz we found, and in the following two ... See full document
43
Exponents of spectral functions in the one-dimensional Bose gas
... The one-dimensional Bose gas with a repulsive δ function was one of the first models exactly solved via Bethe’s ansatz. 1,2 Its properties are those of a Luttinger liquid, 3 i.e. as a consequence of the reduced ... See full document
20
Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
... Numerical evaluations of the additivity deficit in the sinh-Gordon, roaming trajectories and reflectionless sine-Gordon model also confirm that it is nonzero. The evaluations yield another important insight: the ... See full document
58
R matrix quantization of the elliptic Ruijsenaars Schneider model
... RS model is the most general among the systems of the CM and RS ...this model in our ...RS model can be obtained by means of the Poissonian [19] or the Hamiltonian reduction schemes ...RS ... See full document
29
The full phase space of a model in the Calogero–Ruijsenaars family
... Sutherland system. In the course of our analysis [7] we noticed that Marshall’s considerations were restricted to a proper open submanifold of the reduced phase space. Although this submanifold forms a dense subset, the ... See full document
16
On Hamiltonian structure of the spin Ruijsenaars Schneider model
... ECM model possesses the Yangian symmetry whereas the spin RS model has the current ...ECM model was obtained in [6, 7] by exploiting an explicit L-operator describing the ... See full document
16
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