We consider the model of random surfaces with extrinsic curvature term embedded into 3d Euclidean lattice Z 3. On a 3d Euclidean lattice it has equivalent representation in terms of transfer matrix K(Q i , Q f), which describes the propagation of loops Q. We study the spectrum of the transfer matrix K(Q i , Q f) on finite dimensional lattices. The renormalisation group technique is used to inve...

We propose a set of conventional Bethe Ansatz equations and a corresponding expression for the eigenvalues of the transfer matrix for the open spin2 XXZ quantum spin chain with nondiagonal boundary terms, provided that the boundary parameters obey a certain linear relation.

Fractured carbonate reservoirs account for 25% of world’s total oil resources and for 90% of Iranian oil reserves. Since calcite and dolomite minerals are oil wet, gas oil gravity drainage (GOGD) is known as the most influencing production mechanism. The most important issue within gas injection into fractured media is the channeling problem which makes the efficiency of gas injection process e...

The existing formula for the transfer matrix of conical elements assumes constant wave number, which is only valid for sufficiently short conical elements. In acoustic waveguides, the phase velocity, attenuation constant, and hence complex wave number depend on frequency and cross-section radius. As for conical waveguides, the cross-section radius is position dependent, the transfer matrix must...

Corresponding to the Izergin-Korepin (A (2) 2 ) R matrix, there are three diagonal solutions (“K matrices”) of the boundary Yang-Baxter equation. Using these R and K matrices, one can construct transfer matrices for open integrable quantum spin chains. The transfer matrix corresponding to the identity matrix K = I is known to have Uq(o(3)) symmetry. We argue here that the transfer matrices corr...

The spectroscopic properties of a poly(methyl methacrylate) matrix doped with a coumarin dye, a cyanine dye, and a photochromic spiropyran dye have been investigated. Before UV irradiation of the matrix, excitation of the coumarin dye results in minimal energy transfer to the cyanine dye. The energy transfer is substantially enhanced following UV irradiation of the matrix, which converts the co...

An approach to cascaded, uniform, lossless transmission-linenetworks by the transfer scattering matrix in the z-domain is presented.This approach can be applied to network problems treated in both the timeand the frequency domains and is well suited for a computer programming.It is shown that the reflection function and the transfer function areobtained by simple matrix mult...