Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States

A new class of non-Hermitian Hamiltonians with real spectrum, which are written as a real linear combination of su(2) generators in the form $H=\omega J_{3}+\alpha J_{-}+\beta J_{+}$, $\alpha \neq \beta$, is analyzed. The metrics which allows the transition to the equivalent Hermitian Hamiltonian is established. A pseudo-Hermitian supersymmetic extension of such Hamiltonians is performed. They correspond to the pseudo-Hermitian supersymmetric systems of the boson-phermion oscillators. We extend the supercoherent states formalism to such supersymmetic systems via the pseudo-unitary supersymmetric displacement operator method. The constructed family of these supercoherent states consists of two dual subfamilies that form a bi-overcomplete and bi-normal system in the boson-phermion Fock space. The states of each subfamily are eigenvectors of the boson annihilation operator and of one of the two phermion lowering operators

Arsenic contamination of aquifers: a detailed investigation on irrigation and portability

A series of experiment on water samples at different depths of aquifer was conducted to find out the suitability for irrigation and drinking water quality in relation to arsenic contamination. All the groundwater samples in deep aquifer for irrigation were almost good in respect of electrical conductivity (EC), normal in respect of sodium adsorption ratio (SAR), satisfactory in respect to residual sodium bi-carbonate (RSBC), good in respect of permeability index (PI), soft to very hard with respect to total hardness (TH), good to doubtful for soluble sodium percentage (SSP) and practically neutral to slightly alkaline in respect of pH. Excepting a few, the water samples were not harmful to soil in respect of magnesium adsorption ratio (MAR) and Kelly�s ratio (KR). Iron concentrations were far below the recommended upper limit of irrigation water except magnesium. All water quality parameters were found to be correlated with each other. Most of the groundwater samples at shallow aquifer were not suitable for drinking purpose in relation to arsenic (< 0.05 mgL-1) in that area

Removal of Congo red by thermally and chemically modified halloysite: equilibrium, FTIR spectroscopy, and mechanism studies

Unmodified halloysite and its heated and heat-processed/acid-leached forms were utilized for the adsorption of Congo red (CR) from aqueous medium. The samples were analyzed by ICP and nitrogen adsorption prior to the adsorption of the pollutant. We then studied the adsorption equilibrium of CR and the regenerating cycles of the most effective adsorbent. A special attention was paid to Fourier transform infrared analysis to elucidate the mechanism of CR adsorption onto halloysite materials. The thermochemical treatment results in the dehydroxylation of halloysite and an increase in SiO2 content. The modification increases specific surface area up to 503 against 63m(2)g(-1) for unmodified halloysite. The Redlich-Peterson isotherm yields the best fit of the Congo red adsorption. The best adsorbent was found to be the heat-treated/acid-leached sample. It interacts with Congo red molecules through an outer-sphere complexation mechanism by implying silanol species and amino and sulfoxide groups. Understanding the interactions between pollutants and halloysite materials is an essential approach to improving the use of these clays in sewage treatment