Part of the D - dimensional Spiked harmonic oscillator spectra

The pseudoperturbative shifted - l expansion technique PSLET [5,20] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schrodinger equation, are used to construct part of the D - dimensional spiked harmonic oscillator bound - states. PSLET results are found to compare excellenly with those from direct numerical integration and generalized variational methods [1,2].Comment: Latex file, 20 pages, to appear in J. Phys. A: Math. & Ge

Short-range oscillators in power-series picture

A class of short-range potentials on the line is considered as an asymptotically vanishing phenomenological alternative to the popular confining polynomials. We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all our Jost solutions non-numerically, in terms of certain infinite hypergeometric-like series. In this way the well known solvable Rosen-Morse and scarf models are generalized.Comment: 23 pages, latex, submitted to J. Phys. A: Math. Ge

The power of perturbation theory

We study quantum mechanical systems with a discrete spectrum. We show that the asymptotic series associated to certain paths of steepest-descent (Lefschetz thimbles) are Borel resummable to the full result. Using a geometrical approach based on the PicardLefschetz theory we characterize the conditions under which perturbative expansions lead to exact results. Even when such conditions are not met, we explain how to define a different perturbative expansion that reproduces the full answer without the need of transseries, i.e. non-perturbative effects, such as real (or complex) instantons. Applications to several quantum mechanical systems are presented

Point source pollution and climate change impact from sequential batch reactor wastewater treatment plant

WOS: 000428114800005Since sequential batch reactor (SBR) system is sequentially removes carbon, nitrogen and phosphorous in a single reactor by maintaining anoxic and aerobic stages, it recently has attracted a great deal of interest. This study evaluates the impact of wastewater treatment plant (WWTP) with a SBR system on a creek which is the influent tributary to Aegean Sea. Accordingly, this study demonstrates (1) the treatment efficiency of full-scale WWTP; (2) how WWTP influences creek's water quality from 2012 to 2015; (3) how creek influences receiving body's water quality; and (4) the potential climate change impact of a SBR treatment system. The study shows that SBR treatment plant complies with standards set by Turkish Legislations with 4-year average of 62 % SS, 71 % BOD, 62 % COD, 32 % TN and 31 % TP removal but the accumulation of pollutants occurs during low flows when point source is dominant. This is the case in the downstream of treated WWTP discharge point. The potential impact of treatment plant on climate change was calculated in terms of greenhouse gas emissions (GHG). The annual methane emissions from SBR alternated from minimum of 68.71 to maximum 248.99 tCO(2)e. Total emissions CH4, N2O and emission due to electricity usage) from a full-scale SBR were calculated as 144.22 tCO(2)e, 318.34 tCO(2)e, 474.79 tCO(2)e and 996.62 tCO(2)e from 2012 to 2015, respectively

Influence of Land-based Fish Farm Effluents on the Water Quality of Yanýklar Creek

This study evaluates the influence of Yanýklar Creek on the water quality of Fethiye Gulf. Accordingly, this study demonstrates (i) change in the water quality of Fethiye Gulf from 2006 to 2007; (ii) the water quality classification of the Yanýklar Creek feeding Fethiye Gulf; and (iii) how land-based fish farm influencesYanýklar Creek water qualityin a Fethiye-Göcek SpeciallyProtected Area. In this study, the high contribution of nitrite-nitrogen, total phosphate and number of total and fecal coliform ofYanýklar Creek isverifiedtobe duetoland-based fish farmlocated on thecreek. Since, ammonium nitrogen, nitrate nitrogen, nitrite nitrogen and total phosphate concentrations and, number of total and fecal coliform were elevated and dissolved oxygen levels dropped at downstream of the fish farm. Water transparency increased except in July and August. Number of total coliform increased except in October and November. The number of total coliform in the gulf also dramatically exceeded the acceptable limit of 1000 CFU/100mL, thereby implicating wastewater inputs to the gulf as the probable source. Overall data suggest that external phosphorus and nitrogen loads to Fethiye Gulf derive mainly from tributary streams impacted by point sources, and land-based trout fish farm

Influence of nickel (II) and chromium (VI) on the laboratory scale rotating biological contactor

High concentration of heavy metals is toxic for most microorganisms and cause strict damage in wastewater treatment operations and often a physico-chemical pretreatment prior to biological treatment is considered necessary. However, in this study it has been shown that biological systems can adapt to Ni (II) and Cr (VI) when their concentration is below 10 and 20 mg/L, respectively. The aim of this study was to evaluate the effect of Ni (II) and Cr (VI) on the lab-scale rotating biological contactor process. It was found that, addition of Ni (II) up to 10 mg/L did not reduce the chemical oxygen demand removal efficiency and on the contrary concentrations below 10 mg/L improved the performance. The influent Ni (II) concentration of 1 mg/L was the concentration where the treatment efficiency produced a maximum COD removal of 86.5%. Moreover, Ni (II) concentration above 10 mg/L was relatively toxic to the system and produced lower treatment efficiencies than the baseline study without Ni (II). Turbidity and suspended solids removals were not stimulated to a great extent with nickel. Addition of Ni (II) did not seem to affect the pH of the system during treatment. The dissolved oxygen concentration did not drop below 4 mg/L at all concentrations of Ni (II) indicating aerobic conditions prevailed in the system. Experiments conducted with Cr (VI) revealed that addition of Cr (VI) up to 20 mg/L did not reduce the COD removal efficiency and on the contrary concentrations below 20 mg/L improved the performance. The influent Cr (VI) concentration of 1 mg/L was the concentration where the treatment efficiency produced a maximum COD removal of 88%. Turbidity and SS removals were more efficient at 5 mg/L Cr (VI) concentration, rather than 1 mg/L, which lead to the conclusion that 5 mg/L Cr (VI) concentration is the optimum concentration, in terms of COD, turbidity and SS removals. Similar with Ni (II) experiments, addition of Cr (VI) did not significantly affect the pH value of the effluent. The DO concentration remained above 5 mg/L