G von Gehlen et al 2007 J. Phys. A: Math. Theor. 40 14117 doi:10.1088/1751-8113/40/47/006
Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements
G von Gehlen1, N Iorgov2, S Pakuliak3,4, V Shadura2 and Yu Tykhyy2
Show affiliationsWe continue our investigation of the 
-Baxter–Bazhanov–Stroganov model using the method of separation of variables [1]. In this paper, we calculate the norms and matrix elements of a local 
-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N = 2, we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.
- PACS
- MSC
-
15A18 Eigenvalues, singular values, and eigenvectors
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
-
Issue 47 (23 November 2007)
Received 3 September 2007
Published 6 November 2007
-
Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements
G von Gehlen et al 2007 J. Phys. A: Math. Theor. 40 14117
-
Signal identification in smart composite materials using the two-dimensional fast Fourier transform
Kevin Loewke et al 2005 Smart Mater. Struct. 14 895
-
Characteristic wave velocities in spherical electromagnetic cloaks
A D Yaghjian et al 2009 New J. Phys. 11 113011
-
The effect of high-dose nitrogen plasma immersion ion implantation on silicone surfaces
Imad F Husein et al 2000 J. Phys. D: Appl. Phys. 33 2869
-
Three-dimensional micro structured nanocomposite beams by microfluidic infiltration
L L Lebel et al 2009 J. Micromech. Microeng. 19 125009
-
Darcy flow around a two-dimensional permeable lens
Vladimir Mityushev and Pierre M Adler 2006 J. Phys. A: Math. Gen. 39 3545
-
Defects in GaN Films Grown on Si(111) Substrates by Metal-Organic Chemical Vapour Deposition
Hu Gui-Qing et al 2003 Chinese Phys. Lett. 20 1811
-
Space Telescope Imaging Spectrograph Slitless Observations of Small Magellanic Cloud Planetary Nebulae: A Study on Morphology, Emission-Line Intensity, and Evolution
Letizia Stanghellini et al. 2003 ApJ 596 997
-
Electron scattering in a polarization superlattice
B K Ridley 2002 J. Phys.: Condens. Matter 14 3469
-
Structural and mechanical characterization of nanoclay-reinforced agarose nanocomposites
Xiaodong Li et al 2005 Nanotechnology 16 2020
Related review articles
What's this?- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain
- T-systems and Y-systems in integrable systems*