Results 1 - 10 of 1,192

The Bethe Ansatz

by L. D. Faddeev, Silviu Borac, Georg Juttner, Klaus Jung, Christian Kreft, Nadja Kutz, Martin Schmidt
"... For many years the structure of 1+1 dimensional systems (one space + one time dimension) has been of great interest for mathematical physics. The Bethe Ansatz is a unifying method connecting a wide range of different problems in these areas. It has been applied to magnetic chains in solid state phys ..."
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For many years the structure of 1+1 dimensional systems (one space + one time dimension) has been of great interest for mathematical physics. The Bethe Ansatz is a unifying method connecting a wide range of different problems in these areas. It has been applied to magnetic chains in solid state

Bethe Ansatz for Quantum Strings

by Gleb Arutyunov, Sergey Frolov, Matthias Staudacher , 2004
"... We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed all-loop gauge theory asymptotic Bethe ansatz by add ..."
Abstract - Cited by 281 (16 self) - Add to MetaCart
We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed all-loop gauge theory asymptotic Bethe ansatz

Rigged configurations and the Bethe ansatz

by Anne Schilling , 2002
"... This note is a review of rigged configurations and the Bethe Ansatz. In the first part, we focus on the algebraic Bethe Ansatz for the spin 1/2 XXX model and explain how rigged configurations label the solutions of the Bethe equations. This yields the bijection between rigged configurations and crys ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
This note is a review of rigged configurations and the Bethe Ansatz. In the first part, we focus on the algebraic Bethe Ansatz for the spin 1/2 XXX model and explain how rigged configurations label the solutions of the Bethe equations. This yields the bijection between rigged configurations

from Thermodynamic Bethe Ansatz

by Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki , 1993
"... Abstract. We propose a new q-series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra ̂g. We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials. ..."
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Abstract. We propose a new q-series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra ̂g. We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials.

Hirota equation and Bethe ansatz

by A. Zabrodin , 1998
"... The paper is a review of recent works devoted to analysis of classical integrable structures in quantum integrable models solved by one or another version of the Bethe ansatz. Similarities between elements of the quantum and classical theories of integrable systems are discussed. Some key notions of ..."
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The paper is a review of recent works devoted to analysis of classical integrable structures in quantum integrable models solved by one or another version of the Bethe ansatz. Similarities between elements of the quantum and classical theories of integrable systems are discussed. Some key notions

Quasi-polynomials and the Bethe Ansatz

by E Mukhin, A Varchenko , 2008
"... We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensional representations. Having one solution, we describe a construction of new solutions. The collection of all solutions obt ..."
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We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensional representations. Having one solution, we describe a construction of new solutions. The collection of all solutions

Thermodynamical Bethe Ansatz and Condensed

by Minoru Takahashi , 1997
"... Abstract. The basics of the thermodynamic Bethe ansatz equation are given. The simplest case is repulsive delta function bosons, the thermodynamic equation contains only one unknown function. We also treat the XXX model with spin 1/2 and the XXZ model and the XYZ model. This method is very useful fo ..."
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Abstract. The basics of the thermodynamic Bethe ansatz equation are given. The simplest case is repulsive delta function bosons, the thermodynamic equation contains only one unknown function. We also treat the XXX model with spin 1/2 and the XXZ model and the XYZ model. This method is very useful

B Thermodynamic Bethe ansatz with

by Haldane Statistics , 1998
"... We derive the thermodynamic Bethe ansatz equation for the situation in which the statistical interaction of a multi-particle system is governed by Haldane statistics. We formulate a macro-scopical equivalence principle for such systems. Particular CDD ambiguities play a distinguished role in compens ..."
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We derive the thermodynamic Bethe ansatz equation for the situation in which the statistical interaction of a multi-particle system is governed by Haldane statistics. We formulate a macro-scopical equivalence principle for such systems. Particular CDD ambiguities play a distinguished role

Algebraic Aspects of Bethe-Ansatz

by L. D. Faddeev , 1994
"... In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups and their appeara ..."
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In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups

SCATTERING BETHE ANSATZ APPROACH

by Sung-po Chao , 2010
"... We derive the transport properties of a quantum impurity system, often realized as a quantum dot, subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz(SBA), a generalization of the traditional Thermodynamic Bethe Ansatz(TBA) to open systems ..."
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We derive the transport properties of a quantum impurity system, often realized as a quantum dot, subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz(SBA), a generalization of the traditional Thermodynamic Bethe Ansatz(TBA) to open
Results 1 - 10 of 1,192