Transfer matrix eigenvalues of the anisotropic multiparametricUmodel
نویسندگان
چکیده
منابع مشابه
Transfer Matrix Eigenvalues of the Anisotropic Multiparametric U Model
A multiparametric extension of the anisotropic U model is discussed which maintains integrability. The R-matrix solving the Yang-Baxter equation is obtained through a twisting construction applied to the underlying Uq(sl(2|1)) superalgebraic structure which introduces the additional free parameters that arise in the model. Three forms of Bethe ansatz solution for the transfer matrix eigenvalues...
متن کاملdeterminant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولOn the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues
Consider an n × <span style="fon...
متن کاملComputation of Eigenvalues and Eigenvectors for the Discrete Ordinate and Matrix Operator Methods in Radiative Transfer
Nakajima and Tanaka showed that the algebraic eigenvalue problem occurring in the discrete ordinate and matrix operator methods can be reduced to finding eigenvalues and eigenvectors of the product of two symmetric matrices, one of which is positive definite. Here, we show that the Cholesky decomposition of this positive definite matrix can be used to convert the eigenvalue problem into one inv...
متن کاملAnalytic transfer - matrix verification of the droplet picture in the anisotropic d = 2 Ising model
It is widely accepted that the free energy F (H) of the two-dimensional Ising model in the ferromagnetic phase T < T c has an essential branch cut singularity at the origin H = 0. The phenomenological droplet theory predicts that near the cut drawn along the negative real axis H<0, the imaginary part of the free energy per lattice site has the form ImF [ exp(±iπ) | H | ] = ±B|H| exp(−A/ | H |) ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/29/307