Twisted Galilean symmetry and the Pauli principle at low energies

We show the twisted Galilean invariance of the noncommutative parameter, even in presence of space-time noncommutativity. We then obtain the deformed algebra of the Schr\"odinger field in configuration and momentum space by studying the action of the twisted Galilean group on the non-relativistic limit of the Klein-Gordon field. Using this deformed algebra we compute the two particle correlation function to study the possible extent to which the previously proposed violation of the Pauli principle may impact at low energies. It is concluded that any possible effect is probably well beyond detection at current energies.Comment: 16 pages Latex, 2 figures Some modifications made in the abstract, introduction, typographical errors correcte

Dual families of non-commutative quantum systems

We demonstrate how a one parameter family of interacting non-commuting Hamiltonians, which are physically equivalent, can be constructed in non-commutative quantum mechanics. This construction is carried out exactly (to all orders in the non-commutative parameter) and analytically in two dimensions for a free particle and a harmonic oscillator moving in a constant magnetic field. We discuss the significance of the Seiberg-Witten map in this context. It is shown for the harmonic oscillator potential that an approximate duality, valid in the low energy sector, can be constructed between the interacting commutative and a non-interacting non-commutative Hamiltonian. This approximation holds to order 1/B and is therefore valid in the case of strong magnetic fields and weak Landau-level mixing.Comment: 11 pages, no figure

The bacterium, Staphylococcus aureus induced chromosome aberrations with their protection by penicillin, and mitotic inhibition in Syrian hamsters

The frequency of bone marrow chromosome aberrations in Syrian hamster, Mesocricetus auratus induced by the injection of log culture, saline suspension and culture filtrate of S. aureus was significantly high while the treatment of heat-killed bacterial suspension showed no difference with control data. In the first three treated series aberrations were of individual and gross types while others had only individual types. The chromatid breaks were nonrandom, the centro-meric region being less vulnerable and the distal region was more susceptible. The aberration frequency was significantly reduced when log culture, saline suspension and culture filtrate treated specimens were also injected with penicillin 1 hr before simultaneously and 1 hr after, of which the post-treatment rendered the maximum protection. Lastly, the treatment of isolated bacterial sample retarded the mitotic frequency significantly as compared to that of normal and controls

Gender dimensions of the migration, sustainability and care nexus: The case study of the Mahanadi delta, India

Migration and environmental change are deeply interconnected processes, intimately linked to development pathways. The gender dimension of these complex interactions is often overlooked. Yet there are profound linkages and implications. This paper focuses on the gender division of labour to investigate how migration and environmental change relate to gender equality and sustainability. The study draws on research conducted in the Mahanadi delta, in the eastern Indian state of Odisha. In the Mahanadi delta labour migration is largely male dominated. Women remain behind in vulnerable environments facing social and economic challenges having impacts on their empowerment and wellbeing. The findings show shifts in work burden, as women often engage in new activities alongside the traditional domestic and social reproductive work but highlight differences across age and household headship. Firstly, this paper identifies the connections between gender, sustainability and care –conceptually and empirically. Secondly, it explores the gender division of labour in the study area by discussing its structural causes. Thirdly, it provides insights into migration dynamics and examines how they feed back into gender equality and sustainability. Finally, it argues for the need of integrated analytical approaches that reflect ecological and social-equity challenges. © 2021 The Author

Boron availability in relation to some important soil chemical properties in acid soils of Cooch Behar district, West Bengal

In the present study, we investigated the distribution of soil available boron and its relationship with some soil properties in the samples collected from different locations in acidic alluvial soils of Cooch Behar district in West Bengal during 2013-2014. For the study about two hundred fifty (250) georeferenced surface soil samples covering 11 blocks of the districts were collected with the help of a global positioning system (GPS). The soil results revealed that pH of the analyzed samples varied from 4.91-7.28 (mean value 5.68) which indicated that soils of the district were in the acidic to slightly acidic in reaction. Organic carbon content of the soils varied from 0.42 to 1.62 % with a mean value of 0.96 % and about 93.7 % of the samples were high whereas about 5.2 and 1.2 % of the samples analyzed were in medium and low category, respectively. Results also indicated that the available B content in the soils of the districts ranged from 0.04 to 3.87 mg kg-1 with a mean value of 0.51 mg kg-1 and about 38.26 % soil samples were classified under low, whereas, 3.58 and 0.35 % samples were categorized as medium and high in available B content. It was further indicated that the content of available B in soil was positively correlated with organic carbon (r = 0.170**) and negatively correlated with pH (r = -0.021). Organic carbon status was also found to be positively and non significantly correlated with soil pH (r = 0.062). The results of the study would be immensely helpful for the extension workers to recommended B application considering pH and organic carbon status in acidic soils of the district for a profitable crop production

Facile synthesis of 2-benzoxepin-3(1H)-ones

A new route for the synthesis of 2-benzoxepin-3(1H)-ones derivatives has been devised starting from Heck reaction, subsequent reduction followed by base mediated cyclization. The initial Heck coupling involve construction of C-C bond, whereas the final cyclization step follows intramolecular condensation