From quantum stochastic differential equations to Gisin-Percival state diffusion

Starting from the quantum stochastic differential equations of Hudson and Parthasarathy (Comm. Math. Phys. 93, 301 (1984)) and exploiting the Wiener-Ito-Segal isomorphism between the Boson Fock reservoir space $\Gamma(L^2(\mathbb{R}_+)\otimes (\mathbb{C}^{n}\oplus \mathbb{C}^{n}))$ and the Hilbert space $L^2(\mu)$, where $\mu$ is the Wiener probability measure of a complex $n$-dimensional vector-valued standard Brownian motion $\{\mathbf{B}(t), t\geq 0\}$, we derive a non-linear stochastic Schrodinger equation describing a classical diffusion of states of a quantum system, driven by the Brownian motion $\mathbf{B}$. Changing this Brownian motion by an appropriate Girsanov transformation, we arrive at the Gisin-Percival state diffusion equation (J. Phys. A, 167, 315 (1992)). This approach also yields an explicit solution of the Gisin-Percival equation, in terms of the Hudson-Parthasarathy unitary process and a radomized Weyl displacement process. Irreversible dynamics of system density operators described by the well-known Gorini-Kossakowski-Sudarshan-Lindblad master equation is unraveled by coarse-graining over the Gisin-Percival quantum state trajectories.Comment: 28 pages, one pdf figure. An error in the multiplying factor in Eq. (102) corrected. To appear in Journal of Mathematical Physic

Comparative effectiveness of inter-simple sequence repeat and randomly amplified polymorphic DNA markers to study genetic diversity of Indian Garcinia

A study to compare the effectiveness of inter-simple sequence repeats (ISSR) and randomly amplified polymorphic DNA (RAPD) profiling was carried out with a total of 65 DNA samples using 12 species of Indian Garcinia. ISSR and RAPD profiling were performed with 19 and 12 primers, respectively. ISSR markers generated a total number of 156 bands with 92 polymorphic bands, while RAPD markers produced a total of 134 bands with 80 polymorphic bands. Percentage of polymorphic loci in RAPD profiling was 60.4% while in ISSR profiling, it was 59.3%. Heterogeneity index was similar for the markers, 0.86 for ISSR and 0.89 for RAPD, indicating that both the marker systems are effective in determining polymorphism in Garcinia. ISSR markers showed clear distinction among the species whereas RAPD markers showed segregation based on geographical location as well as species based.Key words: Garcinia, genetic diversity, inter-simple sequence repeats, randomly amplified polymorphic DNA, principal component analysis

An observational study of evaluation of extended first trimester screening test to predict early preterm pre-eclampsia in pregnant women

Background: Pre-eclampsia is hypertensive disorder with several complications. Contributes to increased maternal mortality and morbidity. Pre-eclampsia is associated with pre term labour, IUGR and several other complications like end organ failure in mother. So, it is important to diagnose early and take appropriate steps to mitigate maternal mortality and morbidity. Aim was to detect and predict early preterm pre-eclampsia using extended first trimester screening test in pregnant women. Objectives were to assess the sensitivity and specificity of extended first trimester screening test to predict development pre-eclampsia in pregnancy.Methods: Method used in this study was observational study.Results: All three parameters, PAPPA, mean arterial pressure (MAP) and uterine artery pulsatility index found to be significantly associated in predicting early preterm preeclampsiaConclusions: This screening test enables us to predict preeclampsia before its clinical presentation. It can be used as a reliable and a cost-effective screening test. This will help prevent the progression of the disease by taking necessary timely interventions such as ecosprin administration, close and frequent follow up of screen positive mothers. Thus, it is useful tool in reducing the burden of maternal and fetal morbidity on the health system. This study also has confounding factors due to starting of prophylactic treatment with ecosprin based on ACOG/ NICE guidelines, which increased false positive rate.

Identification of suitable areas and effect of climate change on ginger - a GIS study.

Secondary data of area, production and productivity of ginger have consistently shown aincreasing trend during the last 3 decades. Increase in area is not always in proportion withe increase in production. Thirty years area and production curves of the important ginggrowing states are compared with the Eco-crop suitability model which indicated thsuitability has direct impact on production. Orissa, West Bengal, Mizoram and Kerala avery highly suitable while North western states like Gujarat, Rajasthan, UttarpradesMadhya Pradesh are marginally suitable or unsuitable. North eastern and south westestates are ideally highly suitable for ginger cultivation. Future prediction of Eco-crop  modshows, if the temperature increase by 1.5 to 2ºC, the suitability of Orissa and West Bengwill reduce drastically from high suitability to marginally suitable, indicating the effect climate change. &nbsp

Stability of Hill Slopes and Foundation Condition at Radio Astronomy Centre Ootacamand

Stability aspects of hill slopes and foundation considerations of Radio Astronomy Centre at Ootacamand are described. The analysis of slopes indicated that if joints are not covered, the material in joints may lose strength and the slopes may enter a state of instability. Footings with inclined legs were found to resist the horizontal forces, pull and overturning movements. Lime piles adopted for strengthening soft material at one of the tower locations were found to be effective

Biotechnology of Coconut

Biotechnology of coconut (Cocos nucifera L.) is a relatively recent area compared to similar work in other crops. It started as tissue culture in the eighties, which led to the development of molecular markers in late nineties with the use of RAPDs. Since then, considerable research has been carried out and protocols for tissue culture regeneration almost perfected. Embryo culture is being very successfully applied to germplasm transfer. Molecular markers such as AFLP, SSR, etc., were used to develop QTL maps. The entire gamut of coconut biotechnology is under review in this paper

The rapid evolution of the exciting star of the Stingray Nebula

SAO244567, the exciting star of the Stingray nebula, is rapidly evolving. Previous analyses suggested that it has heated up from an effective temperature of about 21kK in 1971 to over 50kK in the 1990s. Canonical post-asymptotic giant branch evolution suggests a relatively high mass while previous analyses indicate a low-mass star. Fitting line profiles from static and expanding non-LTE model atmospheres to the observed UV and optical spectra, taken during 1988-2013, allowed us to study the temporal change of effective temperature, surface gravity, mass-loss rate, and terminal wind velocity. In addition, we determined the chemical composition of the atmosphere. We find that the central star has steadily increased its effective temperature from 38kK in 1988 to a peak value of 60kK in 2002. During the same time, the star was contracting, as concluded from an increase in surface gravity from log g = 4.8 to 6.0 and a drop in luminosity. Simultaneously, the mass-loss rate declined from log (dM/dt/Msun/yr)=-9.0 to -11.6 and the terminal wind velocity increased from 1800km/s to 2800km/s. Since around 2002, the star stopped heating and has cooled down again to 55kK by 2006. It has a largely solar surface composition with the exception of slightly subsolar carbon, phosphorus, and sulfur. By comparison with stellar-evolution calculations, we confirm that SAO244567 must be a low-mass star (M < 0.55 Msun). However, the slow evolution of the respective stellar evolutionary models is in strong contrast to the observed fast evolution and the young planetary nebula with a kinematical age of only about 1000 years. We speculate that the star could be a late He-shell flash object. Alternatively, it could be the outcome of close-binary evolution. Then SAO244567 would be a low-mass (0.354 Msun) helium prewhite dwarf after the common-envelope phase, during which the planetary nebula was ejected.Comment: 16 pages, 13 figures, accepted for publication in A&

A rare case report of massive ovarian edema

Massive ovarian oedema is a benign ovarian pathology occurs due to partial ovarian torsion and blockage of lymphatic drainage of the ovary. Commonly presents with pain abdomen on and off or abnormal uterine bleeding. Here we report a case of 15 years old girl with spotting per vaginum for 45 days. On examination, revealed 28 weeks size mass arising from pelvis. On further evaluation and blood works, proceeded with surgical management. Histopathological examination revealed benign massive ovarian oedema. However, it’s important to know differential diagnosis for solid ovarian tumours

Scattering of polarized laser light by an atomic gas in free space: a QSDE approach

We propose a model, based on a quantum stochastic differential equation (QSDE), to describe the scattering of polarized laser light by an atomic gas. The gauge terms in the QSDE account for the direct scattering of the laser light into different field channels. Once the model has been set, we can rigorously derive quantum filtering equations for balanced polarimetry and homodyne detection experiments, study the statistics of output processes and investigate a strong driving, weak coupling limit.Comment: 9 pages, 2 figure