Stability of the Chari-Pressley-Loktev bases for local Weyl modules of sl2[t]sl_2[t]

We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra $sl_2[t]$. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra $\widehat{sl_2}$, we obtain, by passage to the direct limit, bases for the level 1 representations themselves.Comment: 20 pages; minor revision

Diagnostics of macroscopic quantum states of Bose-Einstein condensate in double-well potential by nonstationary Josephson effect

We propose a method of diagnostic of a degenerate ground state of Bose condensate in a double well potential. The method is based on the study of the one-particle coherent tunneling under switching the time-dependent weak Josephson coupling between the wells. We obtain a simple expression that allows to determine the phase of the condensate and the total number of the particles in the condensate from the relative number of the particles in two wells $\Delta n =n_1-n_2$ measured before the Josephson coupling is switched on and after it is switched off. The specifics of the application of the method in the cases of the external and the internal Josephson effect are discussed.Comment: 3 page

Solar Neutrinos: Spin Flavour Precession and LMA

The time dependence that appears to be hinted by the data from the first 13 years of the solar neutrino Gallium experiments is viewed as resulting from a partial conversion of active neutrinos to light sterile ones through the resonant interaction between the magnetic moment of the neutrino and a varying solar field. A summary of the model and its predictions are presented for the forthcoming experiments Borexino and LENS.Comment: 6 pages, 3 figures, contribution to 12th Lomonosov Conference in Elementary Particle Physics, Moscow, Aug 24-31 (2005

Authorship Trends and Collaboration Pattern in the Neuroscience Literature in India during the year 1989-2018: A Scientometric Study

Background: The present paper analyses authorships trends and pattern of authorship in the field the of neuroscience Objectives: The main objective of the study is to identify neuroscience publication form type, year wise distribution, Authorship pattern, to known the Measure of collaboration it will provide Collaborative Index (CI), Degree of Collaboration (DC), Collaboration Coefficient (CC) and Modified Collaborative Coefficient (MCC), to know the most prolific Authors in Neuroscience in India and top 20 journals and their rank based on the publication and India Collaborative with other Countries Materials and Methods: The PubMed database has been used for obtaining required the data in the field of Neuroscience during 30 years (1989-2018) and retrieved data by using these keywords “Affective neuroscience, Behavioural neuroscience, Cellular neuroscience, Clinical neuroscience, Cognitive neuroscience, Developmental neuroscience, Molecular neuroscience, Neuroimaging, Neuro physiology, Neurology in the combined Title, Abstract and Keywords field. Results: A total of 13580 articles were extracted from PubMed database. Most of the publication mode opted by the author/researcher is Journals published 40.19% of total publications. Out of 13580 articles, 1810(13.33%) articles were published in 2017. Out of 100, 94.17% of articles were contributed by collaborative authors. The Mean of CI, DC, CC and MCC is 0.20, 0.99,0.20 and 0.80 respectively. Mishra U K who published 302 stood first rank. Neurology in India has in the top ranked with 11.92% of publications (1619) and USA the largest share (42.24%) of international collaboratives publication with India

Mossbauer neutrinos in quantum mechanics and quantum field theory

We demonstrate the correspondence between quantum mechanical and quantum field theoretical descriptions of Mossbauer neutrino oscillations. First, we compute the combined rate $\Gamma$ of Mossbauer neutrino emission, propagation, and detection in quantum field theory, treating the neutrino as an internal line of a tree level Feynman diagram. We include explicitly the effect of homogeneous line broadening due to fluctuating electromagnetic fields in the source and detector crystals and show that the resulting formula for $\Gamma$ is identical to the one obtained previously (Akhmedov et al., arXiv:0802.2513) for the case of inhomogeneous line broadening. We then proceed to a quantum mechanical treatment of Mossbauer neutrinos and show that the oscillation, coherence, and resonance terms from the field theoretical result can be reproduced if the neutrino is described as a superposition of Lorentz-shaped wave packet with appropriately chosen energies and widths. On the other hand, the emission rate and the detection cross section, including localization and Lamb-Mossbauer terms, cannot be predicted in quantum mechanics and have to be put in by hand.Comment: LaTeX, 16 pages, 1 figure; v2: typos corrected; matches published versio