Titlebook: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory; S. Pakuliak,G. Gehlen Book 2001 Springer Science

ADORE

Thermodynamic Bethe Ansatz and Form Factors for the Homogeneous Sine-Gordon Models, valued S-matrices, associated to a pair of simply laced Lie algebras, which contain the homogeneous sine-Gordon models as a subclass. We give a brief introduction to the thermodynamic Bethe ansatz and the form factor approach and discuss explicit solutions for both methods related to the homogeneous Sine-Gordon models and its generalization.

滴注

乳汁

Unitary Representations of the Modular and Two-Particle Q-Deformed Toda Chains,le of the modular duality concept (first discovered by L.Faddeev) in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors and Whittaker functions are presented in terms of the double sine functions.

Lipohypertrophy

The Algebraic Bethe Ansatz and the Correlation Functions of the Heisenberg Magnet,infinite chains and for arbitrary values of the anisotropy parameter Δ and external magnetic field. We basically study certain simple specific examples rather than the general case of the correlation function.

Pedagogy

Sine-Gordon Solitons vs. Relativistic Calogero-Moser Particles,article systems. At the classical level this soliton-particle relation is well understood, and we summarize its main features. At the quantum level we expect a physical equivalence of the pertinent particle systems and the sine-Gordon/massive Thirring field theory. We survey the evidence for the 2-body case in some detail.

Jocose

整洁

Functional Realization of Some Elliptic Hamiltonian Structures and Bosonization of the CorrespondinWe introduce a functional realization of the Hamiltonian structure on the moduli space of P- bundles on the elliptic curve E. Here P is parabolic subgroup in ... We also introduce a construction of the corresponding quantum algebras.

adulterant

The Superintegrable Chiral Potts Quantum Chain and Generalized Chebyshev Polynomials,Finite-dimensional representations of Onsager’s algebra are characterized by the zeros of truncation polynomials. The ..

neolith

Integrable Evolutionary Equations Via Lie Algebras on Hyperelliptic Curves,We construct a family of quasi-graded algebras on hyperelliptic curves that admit the Kost ant-Adler scheme. We use them to find new integrable nonlinear evolutionary equations which admit zero-curvature representations.