Results 41 to 49 of about 304 (49)

A system of difference equations with elliptic coefficients and Bethe vectors

, 1996
An elliptic analogue of the $q$ deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.Comment: 20 pages, AMS-LaTeX ver.1.1 (amssymb), 15 figures in
A. Matsuo, B.-Y. Hou, B.L. Feigin, E. Date, E.K. Sklyanin, E.K. Skyanin, I.B. Frenkel, I.V. Cherednik, K. Aomoto, K. Hasegawa, L.A. Takhtajan, M. Jimbo, N.Yu. Reshetikhin, R.J. Baxter, T. Takebe, T. Takebe, Takashi Takebe   +16 more
core   +1 more source

Combinatorics of the asymmetric exclusion process on a semi-infinite lattice [PDF]

, 2012
We study two versions of the asymmetric exclusion process (ASEP) -- an ASEP on a semi-infinite lattice with an open left boundary, and an ASEP on a finite lattice with open left and right boundaries -- and we demonstrate a surprising relationship between
Sasamoto, Tomohiro, Williams, Lauren
core  

Bijective combinatorial proof of the commutation of transfer matrices in the dense O(1) loop model [PDF]

, 2014
The dense O(1) loop model is a statistical physics model with connections to the quantum XXZ spin chain, alternating sign matrices, the six-vertex model and critical bond percolation on the square lattice. When cylindrical boundary conditions are imposed,
Peled, Ron, Romik, Dan
core   +1 more source

Miura opers and critical points of master functions

Open Mathematics, 2005
Mukhin Evgeny, Varchenko Alexander
doaj   +1 more source

Solutions to the XXX type Bethe ansatz equations and flag varieties

Open Mathematics, 2003
Mukhin E., Varchenko A.
doaj   +1 more source

Separation of variables for the quantum relativistic Toda lattices

, 1994
We consider quantum analogs of the relativistic Toda lattices and give new $2\times 2$ $L$-operators for these models. Making use of the variable separation the spectral problem for the quantum integrals of motion is reduced to solving one-dimensional ...
Kuznetsov, V. B., Tsiganov, A. V.
core   +2 more sources

Loss of protein kinase C delta gene expression in human squamous cell carcinomas: a laser capture microdissection study. [PDF]

Am J Pathol, 2010
Yadav V, Yanez NC, Fenton SE, Denning MF.   +3 more
europepmc   +1 more source

Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

Open Mathematics, 2014
Tarasov Vitaly, Varchenko Alexander
doaj   +1 more source

Kac-Ward Solution of the 2D Classical and 1D Quantum Ising Models. [PDF]

Ann Henri Poincare
Athanasopoulos G, Ueltschi D.
europepmc   +1 more source