Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation

In a previous work the concept of quantum potential is generalized into extended phase space (EPS) for a particle in linear and harmonic potentials. It was shown there that in contrast to the Schr\"odinger quantum mechanics by an appropriate extended canonical transformation one can obtain the Wigner representation of phase space quantum mechanics in which the quantum potential is removed from dynamical equation. In other words, one still has the form invariance of the ordinary Hamilton-Jacobi equation in this representation. The situation, mathematically, is similar to the disappearance of the centrifugal potential in going from the spherical to the Cartesian coordinates. Here we show that the Husimi representation is another possible representation where the quantum potential for the harmonic potential disappears and the modified Hamilton-Jacobi equation reduces to the familiar classical form. This happens when the parameter in the Husimi transformation assumes a specific value corresponding to $Q$-function.Comment: This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Design sensitive model reference controller with application to medical technology

The past two decades have seen the incorporation of robotics into medical applications. From a manufacturing perspective, robots have been used in pharmaceuticals, preparing medications. But on more novel levels, robots have been used in service roles, surgery, and prosthetics. The capability of high-precision operation in manufacturing settings gave the medical industry high hopes that robots could be used to assist in surgery. Not only are robots capable of much higher precision than a human, they are not susceptible to human factors, such as trembling and sneezing, that are undesirable in the surgery room. Another advantage to robots in medicine is the ability to perform surgery with very small incisions, which results in minimal scar tissue, and dramatically reduced recovery times. The popularity of these minimally invasive surgical (MIS) procedures has enabled the incorporation of robots in surgeries. In this paper, model reference computed torque controller is recommended for four degrees of freedom serial links robot manipulator, which modeled in SIMSCAPE. To design stable controller conventional computed torque controller is recommended. It is a nonlinear, stable, and reliable controller. The proposed approach effectively combines of design methods from nonlinear controller, and linear Proportional-Derivative (PD) control to improve the performance and stability. This paper has two important objectives: a) study on modeling of 4 degrees of freedom (DOF) based on Simscape software and b) design PD model reference computed torque controller to improve the sensitivity of surgical robot manipulator

A Mediterranean diet is associated with improved total antioxidant content of human breast milk and infant urine

Background: The composition of breast milk (BM) is dynamic and can be influenced by maternal variables that include the diet and nutritional status. This study examined the association between maternal adherence to a Mediterranean diet (MedDiet) and total antioxidant content of BM and infant urine. Methods: We collected 350 BM samples from mothers and urine samples from their infants. The dietary intakes of the mothers were recorded using a validated 65 items-food frequency questionnaire (FFQ). The total antioxidant status of the samples was assessed using the ferric reducing/antioxidant power (FRAP), the 1, 1-diphenyl-2-picrylhydrazyl (DPPH), thiobarbituric acid reactive substances (TBARS), and thiol quantification assays. Milk protein, calcium, and triglyceride (TG) were also determined using standard biochemical kits. Results: Subjects with the highest MedDiet scores were among the women in the highest tertile (T3) for consumption of dietary fiber, fruits, vegetables, nuts, legumes, and seeds, low-fat dairy, whole grains, and the lowest consumption of red meat, sweetened beverages, and sodium, compared to women in the first tertile (T1) with the lowest MedDiet scores. After adjustment for potential confounders, the individuals in the highest tertile for MedDiet score had a significantly higher level of milk DPPH, and infant urinary DPPH than the lowest tertile and had a significantly higher level of milk protein, FRAP and infant urinary FRAP compared to the T2 (P < 0.05). In addition, the mothers in the T3 for the MedDiet pattern had a significantly lower level of milk TG compared to those within the T1 (P < 0.05). Conclusion: Our findings show that a high maternal adherence to a MedDiet can affect BM composition and their infants' urine

A study of the association between cognitive abilities and dietary intake in young women

Background: Cognitive abilities comprise activities that relate to receiving and responding to information from the environment, internal processing, making complex decisions, and then responding to this in the context of behavior. Aim: The current study investigated the association between dietary intake and seven aspects of cognitive abilities among healthy young women. Methods: The study was carried out among 182 women aged 18–25 years. A valid and reliable food frequency questionnaire containing 65 food items was used to estimate dietary intake. Neuropsychological function and cognitive abilities of participants were determined using standard questionnaires. Results: Significant differences were found in depression, anxiety, stress, physical, and mental health-related quality of life as well as daytime sleepiness for the participants in different quartiles of cognitive abilities score (p<0.05). Participants in the fourth quartile of cognitive abilities score consumed significantly higher energy, carbohydrate, protein, calcium, iron, zinc, vitamin A, thiamin, and riboflavin compared to those in the lowest quartile (p<0.05). There were strong correlations between total cognitive abilities score and dietary sodium, calcium, phosphorus, and thiamin (p<0.05). Using stepwise multiple linear regression analysis, iron and thiamin were statistically significant factors for the prediction of cognitive abilities. Conclusions: These findings demonstrate that neurocognitive function is related to dietary macro and micronutrients including energy, carbohydrate, protein, calcium, iron, zinc, vitamin A, thiamin, and riboflavin on cognitive performance among young women without memory deficit

A study of the association of cognitive abilities and emotional function with allergic disorders in young women

Background Allergic disorders may have a bidirectional causal relationship with mental disorders. In this cross-sectional study, we aimed to assess the associations between cognitive abilities and emotional function tests and quality of life with the presence of allergic disease in young women. Methods A diagnosis of allergic disorders, comprising allergic rhinitis (AR), asthma and atopic dermatitis (AD), was confirmed by a specialist in allergy. The presence and severity of depression, anxiety, stress, insomnia and sleepiness were evaluated using validated questionnaires. Cognitive abilities and quality of life were assessed using standard instruments. Results Among 181 female young participants, the prevalence of AR, asthma and AD were 26.5%, 2.8%, and 14.9% respectively. The AR group had higher scores than the non-AR group for depression, anxiety, insomnia, and lower scores for physical and mental health-related quality of life. Moreover, the AD cases had higher scores on the depression and stress scale compared to those without it (p < 0.05). Asthmatic patients also had significantly higher insomnia severity and lower physical health-related quality of life than non-asthmatic. Conclusion There was a high prevalence of psychological/psychiatric disorders that included: anxiety, and sleep problems among allergic women, and a reduced quality of life that may be associated with it

Impact of a Nordic diet on psychological function in young students

Background: There has been a rapid increase in the prevalence of psychiatric and psychological disease, and this has attracted interest in identifying modifiable lifestyle factors that may affect an individual’s mood. Diet is one potential lifestyle factor that may affect psychological function. Aim: This study aimed to investigate the relationship between adherence to the health-promoting Nordic diet (ND) with neuropsychological function in young women. Methods: The study comprised 181 female students aged between 18 and 25 years. Psychological function was evaluated using a series of standardized questionnaires, including the Cognitive Ability Questionnaire, Depression Anxiety Stress Scale, Insomnia Severity Index, Epworth Sleep Scale and Quality of Life Questionnaire. A validated food frequency questionnaire, which included 65 types of foods, was used to evaluate the amount of different foods consumed. Results: Evaluation of the dietary composition of the participants showed that the rate of adherence to the ND was positively associated with total energy, carbohydrates, protein, fibre, iron, magnesium, potassium, zinc, folate, phosphorus, vitamin C, thiamine, riboflavin, niacin, vitamins B6 and B12, carotene, whole grain, legumes, cabbage/vegetables, vegetables and fruit (p<0.05). Linear regression showed cabbage/vegetable consumption was inversely related to scores of stress (β=–0.04; p=0.038) and anxiety (β=–0.02; p=0.049) and directly associated with the quality-of-life score (0.02; p=0.036). Conclusions: Adherence to a ND with a high intake of cabbage/vegetables was inversely associated with stress and anxiety scores and directly associated with health-related quality of life