A Quasi-Exactly Solvable N-Body Problem with the sl(N+1) Algebraic Structure

Starting from a one-particle quasi-exactly solvable system, which is characterized by an intrinsic sl(2) algebraic structure and the energy-reflection symmetry, we construct a daughter N-body Hamiltonian presenting a deformation of the Calogero model. The features of this Hamiltonian are (i) it reduces to a quadratic combination of the generators of sl(N+1); (ii) the interaction potential contains two-body terms and interaction with the force center at the origin; (iii) for quantized values of a certain cohomology parameter n it is quasi-exactly solvable, the multiplicity of states in the algebraic sector is (N+n)!/(N!n!); (iv) the energy-reflection symmetry of the parent system is preserved.Comment: Latex, 12 page

Solution of the SU(N) Vertex Model with Non-Diagonal Open Boundaries

We diagonalize the double-row transfer matrix of the SU(N) vertex model for certain classes of non-diagonal boundary conditions. We derive explicit expressions for the corresponding eigenvectors and eigenvalues by means of the algebraic Bethe ansatz approach.Comment: 10 page

On the Integrability of Classical Ruijsenaars-Schneider Model of BC2BC_{2} Type

The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the $BC_{n}$ type is considered. In the simplest nontrivial case of $n=2$,the extra integral of motion is presented in explicit form within the ansatz similar to the nonrelativistic Calogero-Moser models. The resulting Hamiltonian has been found by solving the set of two functional equations.Comment: 10 pages, LaTeX2e, no figure

Net Consumer of Rice and Poverty in Indonesia: Simulation Using Equivalent Variation

Indonesia\u27s domestic rice price has experienced a significantly increase when the global price of corps commodity decline. An increase in rice price from 2012 to 2015 had reached 30%. The most acute occurred on the first quarter of 2014 until the last quarter of 2015 that overtake 17%. Increase in domestic rice price will affect mostly to consumer welfare in Indonesia, because as we know, rice is one of the staple food for Indonesian people whom has inelastic demand.This paper uses National Socio-economics Survey (SUSENAS) year 2012 and 2014. We revisit McCulloch (2008) and used SUSENAS 2004 to calculate amount of agricultural household in Indonesia. The result of the author\u27s calculation there was a diminution from 46% in 2004 to 37% in 2012 on the amount of agricultural households in Indonesia. From the total of agricultural household, 19% are the rice-farming households. Surprisingly, 90% of Indonesia\u27s households are the net consumer whom bought the rice from the market. The result shows that 15% of the total net consumers are the rice-farming households and 10% of net consumers are poor households. This means that if there is an increasing in the price of rice, automatically this household will get influenced include the rice farmers who in fact is also as the rice producers.The authors conduct simulation to see the effect of the increase in the rice price towards consumptions that ultimately will alter poverty incidence. Simulation that has been performed uses equivalent variation method to calculate a changing on household consumption as the result of an increase in the rice prices. The result from the simulation of a increase in rice price shows that households in every quantile is affected, ceteris paribus. Authors also including Raskin as compensated consumption when there is an increase in rice prices. These findings suggest that, rice price should be stabilized in order to maintain the society\u27s welfare and government should establish pro-poor policy especially for food security to prevent the increasing of poverty incidence