Algebraic bethe ansatz for the trigonometric sℓ(2) Gaudin model with triangular boundary

In this paper we deal with the trigonometric Gaudin model, generalized using a nontrivial triangular reflection matrix (corresponding to non-periodic boundary conditions in the case of anisotropic XXZ Heisenberg spin-chain). In order to obtain the generating function of the Gaudin Hamiltonians with boundary terms we follow an approach based on Sklyanin’s derivation in the periodic case. Once we have the generating function, we obtain the corresponding Gaudin Hamiltonians with boundary terms by taking its residues at the poles. As the main result, we find the generic form of the Bethe vectors such that the off-shell action of the generating function becomes exceedingly compact and simple. In this way—by obtaining Bethe equations and the spectrum of the generating function—we fully implement the algebraic Bethe ansatz for the generalized trigonometric Gaudin model.info:eu-repo/semantics/publishedVersio

Soil Fertility: Organic vs. Conventional Farming Systems in Vojvodina, northern Serbia

The aim of this study was to examine on-farm the influence of organic farming systems on soil fertility, in order to recommend agrotechnical practices that will contribute to increase soil fertility, thus the yield and quality of cultivated plants. The survey was conducted at 7 representative farms in the system of control and certification in Vojvodina, northern Serbia, and within them, 55 production fields with different history of farming practices. Optimal to high soil fertility found in average in all investigated sites indicates that there are necessary natural preconditions for successful organic farming. The results showed high variability in soil fertility, both, between organic farming systems and between different sites. Significant differences in soil fertility between organic and conventional production, have not been found