A New Relation between post and pre-optimal measurement states

When an optimal measurement is made on a qubit and what we call an Unbiased Mixture of the resulting ensembles is taken, then the post measurement density matrix is shown to be related to the pre-measurement density matrix through a simple and linear relation. It is shown that such a relation holds only when the measurements are made in Mutually Unbiased Bases- MUB. For Spin-1/2 it is also shown explicitly that non-orthogonal measurements fail to give such a linear relation no matter how the ensembles are mixed. The result has been proved to be true for arbitrary quantum mechanical systems of finite dimensional Hilbert spaces. The result is true irrespective of whether the initial state is pure or mixed.Comment: 4 pages in REVTE

A Stepwise Planned Approach to the Solution of Hilbert's Sixth Problem. III : Measurements and von Neumann Projection/Collapse Rule

Supmech, the universal mechanics developed in the previous two papers, accommodates both quantum and classical mechanics as subdisciplines (a brief outline is included for completeness); this feature facilitates, in a supmech based treatment of quantum measurements, an unambiguous treatment of the apparatus as a quantum system approximated well by a classical one. Taking explicitly into consideration the fact that observations on the apparatus are made when it has `settled down after the measurement interaction' and are restricted to macroscopically distinguishable pointer readings, the unwanted superpositions of (system + apparatus) states are shown to be suppressed; this provides a genuinely physics based justification for the (traditionally \emph{postulated}) von Neumann projection/collapse rule. The decoherence mechanism brought into play by the stated observational constraints is free from the objections against the traditional decoherence program.Comment: 29 pages; one section and two references added; results unchange

Testing the ΔS=ΔQ\Delta S=\Delta Q Rule with Exclusive Semi-Leptonic Kaon Decays

We consider the possibility of violations of the selection rule $\Delta S=\Delta Q$ at an appreciable level in {\it exclusive} semi-leptonic decays of Kaons. At $\Phi$-Factories, intense Kaon beams will be available and will probe among others, the semi-leptonic decays $K_{l4}$ and $K_{l3\gamma}$ in addition to $K_{l3}$ and could provide novel testing grounds for the $\Delta S=\Delta Q$ rule. In particular, the branching ratio of $K_{l3\gamma}$ is non-negligible and could be used to probe new phenomena associated with the violation of this selection rule. Furthermore, we modify certain di-lepton event rate ratios and asymmetries and time asymmetries that have been constructed by Dass and Sarma for di-lepton events from Beon decays to test the $\Delta B=\Delta Q$ at the $\Upsilon (4S)$, to the Kaon system at the $\phi(1020)$. We find that the large width of the $K_S$ relative to that of $K_L$ plays an important role in enhancing some of the time asymmetries.Comment: 10 pages, Plain Latex, To be run twice

The effects of aqueous ginger extract on aluminium chloride (AlCl3) induced alteration in lipid profile of male wister rats

Background: This study was aimed at investigating the effects of aluminium chloride (AlCl3) in altering the serum lipid profiles and ways to reduce its effect using two different doses of ginger extract 500mg/kg and 1000mg/kg body weight in male wister rats.Methods: The rats were randomly divided into 4 groups consisting of 5 animals in each group. Groups II, III and IV received AlCl3 100mg/kg bodyweight single dose, Groups III and IV receiving an additional daily oral single dose of ginger plant extract through a stomach tube. All animals were fasted before the treatment. All rats were weighed before the start of the experiment and at the end of the experiment. The blood was collected firstly at the beginning of the experiment, then on the 45th day. The collected blood was left to clot then centrifuged at 3500 rpm for 5 min. The serum was separated and stored at - 80°C for later analyses.Results: This study shows that a single dose of 100mg/kg aluminium chloride causes a rise in total body weight, TC (total cholesterol), LDL (low density lipoproteins) and TG (triglycerides) levels in the rat, and aqueous Zingiber officinal (ginger) extract reduces this rise in TC, LDL and TG levels in the rats.Conclusions: Ginger was effective in lowering serum cholesterol levels levels in the ginger treated rats to almost normal value. These results indicate that treatment with aqueous extract of ginger may be effective in lowering lipid levels in AlCl3 induced hyperlipidemia in rats

Implementing standardised rhodes index to measure the efficacy of ginger extract (Zingiber officinale) in pregnancy induced nausea and vomiting

Background: Although nausea and vomiting are natural signs of pregnancy affecting about half the pregnant women during their first trimester of pregnancy, it is unpleasant and difficult symptom to deal with. Considering the fact that medication during pregnancy is not advised, we decided to study the efficacy of a natural product to control nausea and vomiting during early pregnancy. Our study was directed to estimate the efficacy of ginger extract (Zingiber officinale) in pregnancy induced nausea and vomiting.Methods: A total of 30 women with pregnancy of 4-16 weeks, suffering from nausea and vomiting were included in this study (n=30). Subjects were given ginger extract 250mg, to be taken 3 times a day half an hour before food for 1 week. Severity of vomiting was assessed by Rhodes Index of Nausea and Vomiting by the patients. Baseline scores were compared with the score at the end of 7 day. The findings were analysed statistically.Results: Effect with the ginger extract in pregnancy induced nausea and vomiting was assessed at the end of treatment (day 7) and compared with the baseline values. Four patients reported symptoms of heartburn. Otherwise, there were no other reports of any adverse effects. The results showed significance (p <0.005).Conclusions: Ginger extract (Zingiber officinale) helps in reducing severity and frequency of pregnancy induced nausea and vomiting. Therefore, we conclude that ginger extract can be used for mild to moderate nausea and vomiting induced by pregnancy during first trimester

A radical approach to promote multiferroic coupling in double perovskites

Double perovskites provide a unique opportunity to induce and control multiferroic behaviors in oxide systems. The appealing possibility to design materials with a strong coupling between the magnetization and the polarization fields may be achieved in this family since these magnetic insulators can present structural self-ordering in the appropriate growth conditions. We have studied the functional properties of La2CoMnO6 and Bi2CoMnO6 epitaxial thin films grown by pulsed laser deposition. Cation-ordered La2CoMnO6 films display a magnetic Curie temperature of 250 K while cation-disordered Bi2CoMnO6 films present ferromagnetism up to ~ 800 K. Such high transition temperature for magnetic ordering can be further tuned by varying the strain in the films indicating an important contribution from the structural characteristics of the materials. Our approach might be generalized for other oxide systems. At this end, our results are compared with other multiferroic systems. The roles of various cations, their arrangements and structural effects are further discussed.Comment: 12 pages, 5 fig

String-like behaviour of 4d SU(3) Yang-Mills flux tubes

We present here results on the fine structure of the static q\bar q potential in d=4 SU(3) Yang-Mills theory. The potential is obtained from Polyakov loop correlators having separations between 0.3 and 1.2 fermi. Measurements were carried out on lattices of spatial extents of about 4 and 5.4 fermi. The temporal extent was 5.4 fermi in both cases. The results are analyzed in terms of the force between a q\bar q pair as well as in terms of a scaled second derivative of the potential. The data is accurate enough to distinguish between different effective string models and it seems to favour the expression for ground state energy of a Nambu-Goto string.Comment: 9 pages in LaTeX with 2 figures and 2 tables in JHEP style. Replaced to match with shortened published versio

The confining string beyond the free-string approximation in the gauge dual of percolation

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature string tension, when expressed by means of adimensional variables, are nicely described by a unique scaling function. We calculate the first few terms of the string tension up to order $T^6$ and compare to different theoretical predictions. We obtain unambiguous evidence that the coefficients of $T^2$ and $T^4$ terms coincide with those of the Nambu-Goto string, as expected, while the $T^6$ term strongly differs and is characteristic of the universality class of this specific gauge theory.Comment: 13 pages, 3 figure

Effects of Possible ΔB=−ΔQ\Delta B =- \Delta Q Transitions in Neutral BB Meson Decays}

We explore the possibility that the existing data on like-sign dileptons at the $\Upsilon (4S)$ resonance consist of events arising from $B_{d}^0 -\bar B_{d}^0$ mixing and also from $\Delta B = - \Delta Q$ transitions. The consequences of these nonstandard transitions for certain time-asymmetries which are likely to be measured at the $B$ factories are studied.Comment: {\LARGE \bf 10 pages, no figures, process using latex, TIFR/TH/93-5