165
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Partially Solvable Spin Chains and QES Spin Models

, , &
Pages 155-165 | Published online: 21 Jan 2013

References

  • Beisert , N and Staudacher , M . 2005 . Long-range psu(2, 2|4) Bethe ansätze for gauge theory and strings . Nucl. Phys. B , 727 : 1 – 62 .
  • Berenstein , D and Cherkis , S . 2004 . Deformations of N=4 SYM and integrable spin chain models . Nucl. Phys. B , 702 : 49 – 85 .
  • Bethe , H . 1931 . Zur Theorie der Metalle I. Eigenwerte and Eigenfunlctionen der linearen Atomkette . Z. Physik , 71 : 205 – 226 .
  • Calogero , F . 1971 . Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials . J. Math. Phys. , 12 : 41936
  • Enciso , A , Finkel , F , González-López , A and Rodríguez , M A . 2005 . Haldane–Shastry spin chains of BC N type . Nucl. Phys. B , 707 : 553 – 576 .
  • Enciso , A , Finkel , F , González-López , A and Rodríguez , M A . 2005 . Solvable scalar and spin models with near-neighbors interactions . Phys. Lett. B , 605 : 214 – 222 .
  • Enciso , A , Finkel , F , González-López , A and Rodríguez , M A . 2007 . Exchange operator formalism for N-body spin models with near-neighbors interactions . J. Phys. A: Math. Theor , 40 : 18571883
  • Enciso , A , Finkel , F , González-López , A and Rodríguez , M A . 2008 . A novel quasi-exactly solvable spin chain with nearest-neighbors interactions . Nucl. Phys. B , 789 : 45282
  • Finkel , F and González-López , A . 2005 . Global properties of the spectrum of the Haldane–Shastry spin chain . Phys. Rev B , 72 ( 6 ) : 174411
  • Freyhult , L , Kristjansen , C and Månsson , T . Integrable spin chains with U(1)3 symmetry and generalized Lenin–Maldacena backgrounds . J. High Energy Phys , 008 17
  • Gorsky , A . 2005 . Spin chains and gauge-string duality . Theor Math. Phys. , 142 : 153 – 165 .
  • Gradshteyn , I S and Ryzhik , I M . Table of Integrals, Series, and Products , sixth , 2000 San Diego : Academic Press .
  • Haldane , F D M . 1988 . Exact Jastrow–Gutzwiller resonating-valence-bond ground state of the spin-1/2 antiferromagnetic Heisenberg chain with 1/r 2 exchange . Phys. Rev Lett. , 60 : 635 – 638 .
  • Heisenberg , W . 1928 . Zur Theorie des Ferromagnetismus . Z. Physck , 49 : 619 – 636 .
  • Khare , A , Loris , I and Sasaki , R . 2004 . Affine Toda-Sutherland systems . J. Phys. A: Math. Gen. , 37 : 1665 – 1679 .
  • Minahan , J and Zarembo , K . The Bethe-ansatz for N=4 super Yang–Mills . J. High Energy Phys. , 013 29
  • Polychronakos , A P . 1993 . Lattice integrable systems of Haldane–Shastry type . Phys. Rev. Lett. , 70 : 2329 – 2331 .
  • Polychronakos , A P . 1994 . Exact spectrum of SU(n) spin chain with inverse-square exchange . Nucl. Phys. B , 419 : 553 – 566 .
  • Reed , M. and Simon , B. 1978 . Methods of Modern Mathematical Physics , San Diego : Academic Press .
  • Roiban , R and Volovich , A . Yang–Mills correlation functions from integrable spin chains . J. High Energy Phys. , 032 24
  • Shastry , B S . 1988 . Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions . Phys. Rev Lett. , 60 : 639 – 642 .
  • Shifman , M A . 1989 . New findings in quantum mechanics (partial algebraization of the spectral problem) . Int. J. Mod. Phys. , A4 : 2897 – 2952 .
  • Sutherland , B . 1971 . Exact results for a quantum many-body problem in one dimension . Phys. Rev , A4 : 2019 – 2021 .
  • Sutherland , B . 1972 . Exact results for a quantum many-body problem in one dimension. II . Phys. Rev , A5 : 1372 – 1376 .
  • Turbiner , A V . 1988 . Quasi-exactly solvable problems and sl(2) algebra . Comm. Math. Phys. , 118 : 46774
  • Ushveridze , A G . 1994 . Quasi-Exactly Solvable Models in Quantum Mechanics , Bristol : Institute of Physics Publishing .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.