A new orthogonalization procedure with an extremal property

Various methods of constructing an orthonomal set out of a given set of linearly independent vectors are discussed. Particular attention is paid to the Gram-Schmidt and the Schweinler-Wigner orthogonalization procedures. A new orthogonalization procedure which, like the Schweinler- Wigner procedure, is democratic and is endowed with an extremal property is suggested.Comment: 7 pages, latex, no figures, To appear in J. Phys

Randomized, single blinded comparative study of selective serotonin reuptake inhibitor augmentation with olanzapine v/s amisulpride for obsessive compulsive disorder

Background: Obsessive-Compulsive Disorder is classified in the Diagnostic and Statistical Manual of Mental Disorders, Fourth Edition, Text Revision (DSM-IV-TR) as an anxiety disorder. Serotonin reuptake inhibitors are considered to be most effective and are the first line pharmacotherapy for the treatment of OCD. However, about 40-60% of OCD patients fail to respond to SSRI mono-therapy. Further, as many as 25% of patients fails to experience any improvement from initial SSRIs mono-therapy. For non-responder’s low dose augmentation with antipsychotics (risperidone, quetiapine, olanzapine, aripirazole, amisuplride etc.) has shown promising response, as compared to serotonin enhancers. The present study is designed to evaluate and compare the efficacy and adverse drug reactions of these two antipsychotics viz. Olanzapine and amisulpride as augmentation strategy in OCD patients. Objective of present study was to compare the efficacy of olanzapine and amisulpride as add on therapy for inadequately controlled obsessive-compulsive disorder patients on selective-serotonin reuptake inhibitor.Methods: the present study was done at Medical College Jabalpur (M.P.) in the department of Psychiatry & Pharmacology. It was randomized, patient blinded study. 47 patients were screened for the study out of which 36 were enrolled and randomized into either SSRI+Olanzapine or SSRI+Amisulpride group. The patients were evaluated at baseline and then biweekly for 12 weeks to assess the efficacy of these drugs as augmentation strategy using Yale-Brown Obsessive Compulsive Scale (Y-BOCS).Results: There was a significant improvement in Yale-Brown Obsessive Compulsive Scale (Y-BOCS), Clinical Global Impression-Severity (CGI-S) score and Clinical Global impression-Improvement (CGI-I) score in both the groups but there was no significant difference (P>0.05) in either of these groups on these three scale. No serious adverse drug reaction was reported in either of these groups.Conclusions: Both olanzapine and amisulpride are efficacious and well tolerated for augmentation of SSRI with no significant difference in their efficacy

Transverse Momentum Distribution and Elliptic Flow of Charged Hadrons in UU+UU collisions at sNN=193\sqrt{s_{NN}}=193 GeV using HYDJET++

Recent experimental observations of the charged hadron properties in $U+U$ collisions at $193$ GeV contradict many of the theoretical models of particle production including two-component Monte Carlo Glauber model. The experimental results show a small correlation between the charged hadron properties and the initial geometrical configurations (e.g. body-body, tip-tip etc.) of $U+U$ collisions. In this article, we have modified the Monte Carlo HYDJET++ model to study the charged hadron production in $U+U$ collisions at $193$ GeV center-of-mass energy in tip-tip and body-body initial configurations. We have modified the hard as well as soft production processes to make this model suitable for $U+U$ collisions. We have calculated the pseudorapidity distribution, transverse momentum distribution and elliptic flow distribution of charged hadrons with different control parameters in various geometrical configurations possible for $U+U$ collision. We find that HYDJET++ model supports a small correlation between the various properties of charged hadrons and the initial geometrical configurations of $U+U$ collision. Further, the results obtained in modified HYDJET++ model regarding $dn_{ch}/d\eta$ and elliptic flow ($v_{2}$) suitably matches with the experimental data of $U+U$ collisions in minimum bias configuration.Comment: 29 pages, 25 figures. Accepted for Publication in EPJ

Heavy Quarkonia in a Potential Model: Binding Energy, Decay Width, and Survival Probability

Recently a lot of progress has been made in deriving the heavy quark potential within a QCD medium. In this article we have considered heavy quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has been modeled properly for short as well as long distances. The potential at long distances is modeled as a QCD string which is screened at the same scale as the Coloumb field. We have numerically solved the 1+1-dimensional Schrodinger equation for this potential and obtained the eigen wavefunction and binding energy for the $1S$ and $2S$ states of charmonium and bottomonium. Further, we have calculated the decay width and dissociation temperature of quarkonium states in the QCD plasma. Finally, we have used our recently proposed unified model with these new values of decay widths to calculate the survival probability of the various quarkonium states with respect to centrality at relativistic heavy ion collider (RHIC) and large hadron collider (LHC) energies. This study provides a unified, consistent and comprehensive description of spectroscopic properties of various quarkonium states at finite temperatures along with their nuclear modification factor at different collision energies.Comment: 26 page, 25 Figures, 1 Tabl

Inertia-Free Spacecraft Attitude Tracking with Disturbance Rejection and Almost Global Stabilization

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76737/1/AIAA-41565-705.pd

Universal Freezeout Condition for Charged Hadrons in a Hybrid Approach

Hadronic freezeout during the evolution of the medium created in heavy-ion collisions is an important phenomena. It is quite useful to find a universal freezeout condition for each and every nuclear collisions. In this article, we have constructed a hybrid model to calculate the ratio of transverse energy to total mean multiplicity $E_{T} /N_{ch}$, since this ratio can possibly act as a freezeout condition in heavy-ion collision experiments. Present hybrid model blends two approaches : Tsallis statistics and wounded quark approach. Recently, Tsallis statistics has been reliably used to obtain the transverse momentum distribution of charged hadrons produced in relativistic ion collisions. On the other side it has been shown that the pseudorapidity distribution of charged hadrons can be calculated satisfactorily using the wounded quark model (WQM). We have used this hybrid model to calculate the transverse energy density distributions, $dE_{T}/d\eta$ at midrapidity using charged particle pseudorapidity distributions, $dN_{ch}/d\eta$ and mean transverse momentum $\langle p_{T} \rangle$ in various type of nuclear collisions. We found that present hybrid model satisfactorily explains the experimental data whether other models fail to reproduce the data at central and at peripheral collisions simultaneously. Finally, ratio of transverse energy to total mean multiplicity, $E_{T} /N_{ch}$ has been computed within hybrid model and compared with the available experimental data at RHIC and LHC energies. We observed no explicit dependence of $E_{T} /N_{ch}$ on energy as well as centrality and thus it can definitely act as a freezeout criteria.Comment: 27 pages, 18 figures, 2 Tables, Accepted in EPJ

A General Setting for Geometric Phase of Mixed States Under an Arbitrary Nonunitary Evolution

The problem of geometric phase for an open quantum system is reinvestigated in a unifying approach. Two of existing methods to define geometric phase, one by Uhlmann's approach and the other by kinematic approach, which have been considered to be distinct, are shown to be related in this framework. The method is based upon purification of a density matrix by its uniform decomposition and a generalization of the parallel transport condition obtained from this decomposition. It is shown that the generalized parallel transport condition can be satisfied when Uhlmann's condition holds. However, it does not mean that all solutions of the generalized parallel transport condition are compatible with those of Uhlmann's one. It is also shown how to recover the earlier known definitions of geometric phase as well as how to generalize them when degeneracy exists and varies in time.Comment: 4 pages, extended result

Photosynthetic pigments on plant bearing surfaces in the Himalayas

The concentration of chlorophyll (a + b) and total carotenoids and their amount on unit area basis were assessed for different plant groups and plant-bearing surfaces in the Himalayas within an altitudinal range of 1500-2050 m during the wet season of the year. The concentration of pigments increased in the order: gymnospermic trees < angiospermic trees < shrubs < lower plants < herbs. The concentration in different strata of the forests Was inversely related with relative illuminance. Such special habitats as rocks with deep soil in creyices, tree-trunks with epiphytic vegetation, and grasslands, could develop as much chlorophyll (chl) per unit area as did the croplands. There was a considerable amount of variation in the vertical distribution pattern of chl among the different forest types investigated. The overall percent contribution by epiphytic flora to chl amount in several forest types was greater than or equal to the combined contribution of herb and shrub layers. The role of these special plant covers in the overall carbon cycle is unknown. One has only to imagine the vastness of the surface area covered by epiphytic flora in the Himalayas in order to appreciate their significance

Genetic and Multilocation Evaluation of High Yielding Provenances of Bhimal (\u3cem\u3eGrewia optiva\u3c/em\u3e) on Farmers’ Fields in North Western Himalayas

Agroforestry is the inclusion of woody perennial within farming systems, has been practiced as a traditional land use and livelihood option since time immemorial (FSI 2013). It is being practiced on agricultural lands for fuel wood and fodder (Khybri et al., 1992), as well as medicinal and fruit trees (Bijalwan, 2011; Rathore et al., 2014) enabling food security (Narain 1998), non timber forest products, timber and shelter etc. A number of different (185) agroforestry systems are popular among farmers in different agro-climatic regions (Solanki, 2006). Grewia optiva Drummond (Bhimal) is an important agroforestry tree species primarily grown for green fodder in the north west Himalayas (Khybri et al., 1992; Dhyani, 2009). It is distributed throughout the sub-Himalayan tract upto an altitude of 1800m. Therefore, the present study was envisaged to monitor the performance of three best provenances of Bhimal (Mehta et al., 2011) on farmers’ fields at four locations comprising middle hill elevations and valley zones and their effect on field crops