A class of N-body problems with nearest- and next-to-nearest neighbour interactions

We obtain the exact ground state and a part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in a case where N particles are interacting via nearest- and next-to-nearest neighbour interactions. Further, using the exact ground-state, we establish a mapping between these N-body problems and the short-range Dyson models introduced recently to model intermediate spectral statistics. Using this mapping we compute the one- and two-point functions of a related many-body theory and show that there is no long-range order in the thermodynamic limit. However, quite remarkably, we prove the existence of an off-diagonal long-range order in the symmetrised version of the related many-body theory. Generalisation of the models to other root systems is also considered. Besides, we also generalize the model on the full line to higher dimensions. Finally, we consider a model in two dimensions in which all the states exhibit novel correlations.Comment: LaTeX2e, 40 pages, 2 figures, submitted to Nucl. Phys. B [FS

Off-diagonal long-range order in one-dimensional many-body problem

We prove that there is off-diagonal long-range order in the symmetrised version of the one-dimensional many-body problem presented by Jain and Khare (Phys. Lett. A262 (1999)35). This model is related to the short-range Dyson model employed to study intermediate statistics in systems like the Anderson model in three dimensions at the metal-insulator transition point and pseudointegrable billiards. To the best of our knowledge, this is the only example showing quantum phases and possibility of Bose-Einstein condensation in one-dimensional statistical mechanics.Comment: LaTeX2e, submitted to Phys. Lett.

An exactly solvable many-body problem in one dimension

For N impenetrable particles in one dimension where only the nearest and next-to-nearest neighbours interact, we obtain the complete spectrum both on a line and on a circle. Further, we establish a mapping between these N-body problems and the short-range Dyson model introduced recently to model intermediate spectral statistics in some systems using which we compute the two-point correlation function and prove the absence of long-range order in the corresponding many-body theory. Further, we also show the absence of off-diagonal long-range order in these systems.Comment: LaTeX, 4 pages, 1 figur

What drives migration in northern Gujarat?

In a new IGC working paper, Ram Fishman, Meha Jain, and Avinash Kishore investigate factors that drive environmental migration and the economic impact of geographical mobility

Understanding the linkages between lean practices and performance improvements in Indian process industries

Purpose The purpose of this paper is to investigate the impact of lean practices on performance improvement of process industries in India. Design/methodology/approach Based on a survey of Indian process industries, this paper proposes two sets of hypothesis to examine if there is any statistically significant impact of lean practices on certain specific performance metrics. First, the sample is classified into two classes of process industries: the adopters of lean and those who have not yet adopted the lean practices in their manufacturing operations. Then statistical tests are conducted to measure the differences in the level of performance between the two classes of Indian process industries with respect to nine performance measures. The survey results are augmented by two in-depth case studies. Case studies include one from lean adopter firms (a refinery) and another from the firms that have not yet adopted the lean practices (a primary metal manufacturing unit). Findings A survey result of 121 Indian process industries shows that adoption of lean practices results in a positive impact on inventory control, waste elimination, cost reduction, productivity, and quality improvement in process industries. On the other hand, based on the sample data on Indian process industries, no statistically significant improvement could be found on the lot size or space utilization between lean adopters and their counterparts. Practical implications This research provides guidance to the managers on how adoption of lean practices results in better performance in process industries in several operational areas. Originality/value To the knowledge, this study is the first attempt to analyze the impact of lean practices on a set of specific performance metrics in Indian process industry. Although this study focuses on the Indian process industry, the authors believe that findings of the research can inform other practitioners and researchers who are considering implementing lean in process industry sector in other developing countries like India. </jats:sec

A Literature Study on the Product Packaging Influences on the Customers Behavior

Many organizations in the business sector have focused on one tactic or another to win more profit margins for products. An effort made by the organization to get more consumers to buy their products, organizations have always been engaging in this process. Different technologies to help their products compete with the product of rivals, the packaging type is one step to make customers aware of the product. Despite the fact that perhaps the packaging as well as the manner in which the customer determines the benefit/value of the product, the packaging rationale for purchase behaviors has been thoroughly studied and the outcomes have adequately defined the connection among the packaging with the purchasing behavior of a customer. The consumer's shopping behavior depends mostly on packaging as well as its characteristics. Packaging features such as color packaging, context illustration, and packaging content, font type, wrapping design, printed details and novelty are used as indicators. As self-service grows and customers' lifestyles shift, interest in packaging as a product advertising tactic and a catalyst to impulsive purchasing behavior is rising. Package, therefore, plays a key role throughout advertising relations, particularly at the stage of sale, which may be considered to be among the key significant aspects impacting customer buying behaviors

MORTALITY OF TROPICAL FOREST TREE SEEDLINGS UNDER WATER AND SALT STRESS CONDITIONS

Mortality of selected tropical forest tree species seedlings viz. Tectona grandis, Pongamia pinnata, Dalbergia latifolia and Gmelina arborea were tested under water and salt stress conditions for 4 months under nursery stage. Water stress included moderate and severe waterlogging &amp; moderate and severe drought conditions. The salt stress in the soil was maintained to 4, 8 and 12 ds/m. Pot culture experiments with twenty treatment combinations following RBD factorial design were conducted in TFRI Jabalpur nursery. The water equivalent to the field capacity of the soil was provided to the seedlings to maintain waterlogging. The drought condition in polybags was maintained according to Permanent Wilting point (PWP), which was calculated on the basis of Cumulative Pan Evaporation (CPE) values measured through Open Pan Evaporimeter. Mortality of seedlings of the species under study increased with the increase in salt concentration from 4 to 12 ds/m. Gmelina arborea shown 100% mortality in 4ds/m, 8ds/m and 12ds/m concentration of salt. Cumulative effect of salt and waterlogging &amp; salt and drought was found to be more prominent in Gmelina arborea as compare to other three species. Tectona grandis was found to be more tolerable to waterlogged followed by drought conditions.  Waterlogging conditions observed to be excellent for Pongamia pinnata seedlings plantation shown 0% mortality. As a whole, the mortality of seedlings due to water and salt stress was found in the order Dalbergia latifolia (90.95%) &gt; Gmelina arborea (82.50%) &gt; Tectona grandis (74%) &gt; Pongamia pinnata (35.56%).Â

DEVELOPMENTS IN THE FIELD OF AYURVEDA - PAST TO PRESENT

In the present era of competition and globalization, every branch of science is trying to retain its identity in the globe by reorientation and developing itself according to the needs by conducting various kinds of research. The present practice of Ayurveda emphasizes on traditional way. The Globalization, Patent, Intellectual Property Rights issues and Bio-piracy are becoming major challenges in the indigenous traditional medical systems like Ayurveda. In order to promote as a global medicine and equip Ayurveda to meet the global healthcare needs of the 21st century, there is an urgent need to modernize the ancient system in pace with the development of science and information technology. So considering all these facts, Ayurveda is needed to restructure in the global context to meet the rising demands of a cyber society with the application of Information, Education and Communication (IEC) technology. This review article highlights how the advancements have been taken in different fields of Ayurveda over the decades till the current scenario