Quantum integrable systems related to Lie algebras
MA Olshanetsky, AM Perelomov - Physics Reports, 1983 - Elsevier
Some quantum integrable finite-dimensional systems related to Lie algebras are
considered. This review continues the previous review of the same authors [83] devoted to …
considered. This review continues the previous review of the same authors [83] devoted to …
Fermi gases in one dimension: From Bethe ansatz to experiments
This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …
gases. Specifically, the experimentally realized two-component delta-function interacting …
Valence bond ground states in isotropic quantum antiferromagnets
Haldane predicted that the isotropic quantum Heisenberg spin chain is in a “massive” phase
if the spin is integral. The first rigorous example of an isotropic model in such a phase is …
if the spin is integral. The first rigorous example of an isotropic model in such a phase is …
Boundary conditions for integrable quantum systems
EK Sklyanin - Journal of Physics A: Mathematical and General, 1988 - iopscience.iop.org
A new class of boundary conditions is described for quantum systems integrable by means
of the quantum inverse scattering (R-matrix) method. The method proposed allows the …
of the quantum inverse scattering (R-matrix) method. The method proposed allows the …
[BOOK][B] Form factors in completely integrable models of quantum field theory
FA Smirnov - 1992 - books.google.com
The monograph summarizes recent achievements in the calculation of matrix elements of
local operators (form factors) for completely integrable models. Particularly, it deals with sine …
local operators (form factors) for completely integrable models. Particularly, it deals with sine …
Some algebraic structures connected with the Yang–Baxter equation
EK Sklyanin - Funktsional'nyi Analiz i ego Prilozheniya, 1982 - mathnet.ru
EK Sklyanin, “Some algebraic structures connected with the Yang–Baxter equation”,
Funktsional. Anal. i Prilozhen., 16:4 (1982), 27–34; Funct. Anal. Appl., 16:4 (1982), 263–270 …
Funktsional. Anal. i Prilozhen., 16:4 (1982), 27–34; Funct. Anal. Appl., 16:4 (1982), 263–270 …
The Yang-Baxter equation and invariants of links
V Turaev - New Developments in the Theory of Knots, 1990 - books.google.com
The Yang-Baxter equation first appeared in the independent papers of CN Yang and RJ
Baxter in the late 1960's—early 1970's. This equation and its solutions play fundamental role …
Baxter in the late 1960's—early 1970's. This equation and its solutions play fundamental role …
Quantum spin chains and the Haldane gap
I Affleck - Journal of Physics: Condensed Matter, 1989 - iopscience.iop.org
One-dimensional antiferromagnets have exotic disordered ground states. As was first
argued by Haldane (1983), there is an excitation gap for integer, but not half-integer, spin …
argued by Haldane (1983), there is an excitation gap for integer, but not half-integer, spin …
Exactly solvable models for many-body systems far from equilibrium
GM Schütz - Phase transitions and critical phenomena, 2001 - Elsevier
Many complex systems of interacting particles that one encounters in nature behave on a
phenomenological level in some random fashion. Therefore the theoretical treatment of …
phenomenological level in some random fashion. Therefore the theoretical treatment of …
Exact critical exponents for quantum spin chains, non-linear σ-models at θ= π and the quantum hall effect
I Affleck - Nuclear Physics B, 1986 - Elsevier
We use non-abelian bosonization to predict critical exponents for quantum chains of
arbitrary spin and arbitrary symmetry SU (n). Passing to the large representation limit gives …
arbitrary spin and arbitrary symmetry SU (n). Passing to the large representation limit gives …