Lpμ-Boundedness of the Pseudo-differential Operator Associated with the Bessel Operator

AbstractAn Lpμ-boundedness result for the pseudo-differential operator associated with the Bessel operator is obtained

Tensile Strength of Snow using Centrifugal Technique

Tensile strength of snow was determined using indigenously developed automated centrifugalmachine. Processed snow (sintered at 20 °C for 4 days) samples of dia: 65 mm andheight:130 mm were tested using this machine.The experiments were conducted on sieved snowat four temperature levels of 0 °C, 3 °C,6 °C and 9 °C at density ranging from 200-460 kg/m3.Results of these experiments have been compared with the earlier  suggested models. Probabilitydistribution of snow strength on the basis of current experimental data has also been presented

Preliminary observations on the availability of Tor tor (Hamilton) fry in the River Narmada near Hoshangabad, Madhya Pradesh

Collection of mahseer (Tor tor) fry during December to January from three centres of the river Narmada near Hoshangabad, (Joshipur ghat, Dungerwada ghat and Kherra ghat) using a special type of fry collection net is described. The physical features and physico-chemical conditions of the collection sites are also dealt with

Field dependent nilpotent symmetry for gauge theories

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of both the effective action as well as the generating functional for certain choices of the field dependent parameters. We show that the Jacobian contributions for path integral measure in the definition of generating functional arising from BRST and anti-BRST part compensate each other. The field dependent mixed BRST transformations are also considered in field/antifield formulation to show that the solutions of quantum master equation remain invariant under these. Our results are supported by several explicit examples.Comment: 25 pages, No figures, Revte

Status and socio-ecological dimensions of sacred groves in Northeast India

Sacred groves are among one of the best practices of biodiversity conservation used by the ethnic societies which are deeply associated with the religion and culture that significantly nurture nature. As these practices play a vital role in conserving socio-ecologically important species and protect threatened flora and fauna from extinction in different ecological zones. In northeast India, sacred groves are well connected with culture and society through religious beliefs of the population and their associated myths. Sacred groves cover a total of > 40,000 hectares of natural forest area in the five northeastern states of India. These forests house some of the most important and highly threatened species of plants. Wild relatives of present-day cultivated plants are found in these forests and hence act as the gene pool for these species. Social transformation and urbanization have a large impact on the structure and health of these forests and responsible for their destruction. Developmental projects like railways, roads, hydro-electric projects etc. have reportedly destroyed many groves in the past. Due to social transformation, the rate of activities like grazing, encroachment, cutting and collection of fuel wood, fruits and leaves has been increasing and posing a threat to the conservation of biodiversity and ecosystem function in the future. Creating awareness about the social and ecological benefits of maintaining sacred groves among local people, especially youth, can help in reviving these practices and conserving them as a natural heritage for future generations is the need of the hour

Natural nitrification inhibitors for higher nitrogen use efficiency, crop yield, and for curtailing global warming

Nitrification inhibitors selectively inhibit microbial enzymes responsible for the conversion of NH4+ to NO3-. Arresting nitrification could be a key strategy to improve nitrogen (N) recovery and agronomic N use efficiency in situations where the loss of N is significant. Although chemicals known to inhibit nitrifiers have been tested, many of these are still at the experimental level; high cost, limited availability, adverse influence on beneficial soil microorganisms, and above all, poor extension and promotional activities are major constraints in this respect. It is therefore necessary to develop plant-based nitrification inhibitors (natural nitrification inhibitors, NNI) for augmenting nitrogen use efficiency, crop productivity, and for safeguarding the environment. The advantages of NNI are that they are easily available, cheap, and eco-friendly. This paper briefly reviews the different aspects of plant-based nitrification retarder

The 2-Channel Kondo Model I: Review of Experimental Evidence for its Realization in Metal Nanoconstrictions

Certain zero-bias anomalies (ZBAs) in the voltage, temperature and magnetic field dependence of the conductance $G(V,T,H)$ of quenched Cu point contacts have previously been interpreted to be due to non-magnetic 2-channel Kondo (2CK) scattering from near-degenerate atomic two-level tunneling systems (Ralph and Buhrman, 1992; Ralph et al. 1994), and hence to represent an experimental realization of the non-Fermi-liquid physics of the T=0 fixed point of the 2-channel Kondo model. In this, the first in a series of three papers (I,II,III) devoted to 2-channel Kondo physics, we present a comprehensive review of the quenched Cu ZBA experiments and their 2CK interpretation, including new results on ZBAs in constrictions made from Ti or from metallic glasses. We first review the evidence that the ZBAs are due to electron scattering from stuctural defects that are not static, but possess internal dynamics. In order to distinguish between several mechanisms proposed to explain the experiments, we then analyze the scaling properties of the conductance at low temperature and voltage and extract from the data a universal scaling function $\Gamma(v)$. The theoretical calculation of the corresponding scaling function within the 2CK model is the subject of papers II and III. The main conclusion of our work is that the properties of the ZBAs, and most notably their scaling behavior, are in good agreement with the 2CK model and clearly different from several other proposed mechanisms.Comment: 35 pages RevTeX, 19 encapsulated postscript figures; this final published version features two additional authors, an additional section reviewing recent experiments on Ti nanoconstrictions that agree very well with the 2-channel Kondo model, 6 new figures (and is much shorter the previous 53 page version, due to reformatting