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Approximate analytical solutions and mean energies of stationary Schrodinger equation for general molecular potential

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Chinese Physics B 2021年第7期30卷 116-131页

作者： eyube e S Rawen B O Ibrahim n Department of Physics School of Physical SciencesModibbo Adama University of TechnologyP M B 2076 YolaAdamawa StateNigeria Directorate of Basic and Remedial Studies Abubakar Tafawa Balewa University(ATBU)P M B 750001BauchiBauchi StateNigeria Department of Physics Faculty of ScienceP M B 1069MaiduguriBorno StateNigeria

The Schrodinger equation is solved with general molecular potential via the improved quantization *** for bound state energy eigenvalues,radial eigenfunctions,mean kinetic energy,and potential energy are obtained in compact *** modeling the centrifugal term of the effective potential,a Pekeris-like approximation scheme is ***,we use the Hellmann–Feynman theorem to derive the relation for expectation *** state energy eigenvalues,wave functions and meanenergies of Woods–Saxon potential,Morse potential,Mobius squared and Tietz–Hua oscillators are deduced from the general molecular *** addition,we use our equations to compute the bound state energy eigenvalues and expectation values for four diatomic molecules viz.H_(2),CO,HF,and O_(2).Results obtained are in perfect agreement with the data available from the literature for the potentials and *** also show that as the vibrational quantum number increases,the mean kinetic energy for the system in a Tietz–Hua potential increases slowly to a threshold value and then *** in a Morse potential,the mean kinetic energy increases linearly with vibrational quantum number increasing.

关键词： general molecular potential Schrodinger equation improved quantization rule

Malpractice or masterful practice?navigating vicarious liability in healthcare

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World Journal of Clinical Cases 2025年第2期13卷 10-13页

作者： Satvik n Pai naveen Jeyaraman Madhan Jeyaraman Swaminathan Ramasubramanian Department of Orthopaedics PES University Institute of Medical Sciences and ResearchBengaluru 560100KarnatakaIndia Department of Orthopaedics ACS Medical College and HospitalDr MGR Educational and Research InstituteChennai 600077Tamil NaduIndia Department of Orthopaedics Government Medical CollegeOmandurar Government EstateChennai 600002Tamil NaduIndia

In the intricate landscape of healthcare,vicarious liability looms large,shaping the responsibilities and actions of healthcare practitioners and administrators *** by a poignant scenario of a medication error,this article navigates the complexities of vicarious liability in *** explains the legal basis and ramifications of this theory,emphasizing its importance in fostering responsibility,protecting patient welfare,and easing access to *** paper explores the practical effects of vicarious responsibility on day-to-day operations,leadership practices,and decision-making processes via the eyes of senior consultants,junior doctors,and hospital *** comprehensive insights and real-world examples,it underscores the imperative of fostering a culture of accountability,communication,and quality care to navigate the intricate web of liabilities inherent in modern healthcare.

关键词： Vicarious liability Healthcare Responsibility Litigation Patient welfare

Microwave sintering effects on the microstructure and mechanical properties of Ti–51at%ni shape memory alloys

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International Journal of Minerals,Metallurgy and Materials 2017年第3期24卷 280-288页

作者： Mustafa K. Ibrahim e. Hamzah Safaa n. Saud e. n. e. Abu Bakar A. Bahador Faculty of Mechanical engineering Universiti Teknologi Malaysia 81310 UTM Johor Bahru Johor Malaysia Faculty of Information Sciences and engineering Management & Science University Shah Alam Selangor Malaysia

Ti–51at%ni shape memory alloys(SMAs) were successfully produced via a powder metallurgy and microwave sintering *** influence of sintering parameters on porosity reduction,microstructure,phase transformation temperatures,and mechanical properties were investigated by optical microscopy,field-emission scanning electron microscopy(Fe-SeM),X-ray diffraction(XRD),differential scanning calorimetry(DSC),compression tests,and microhardness *** the microwave temperature and holding time was found to strongly affect the density of porosity,presence of precipitates,transformation temperatures,and mechanical *** lowest density and smallest pore size were observed in the Ti–51at%ni samples sintered at 900°C for 5 min or at 900°C for 30 *** predominant martensite phases of β2 and β19′ were observed in the microstructure of Ti–51at%ni,and their existence varied in accordance with the sintering temperature and the holding *** the DSC thermograms,multi-transformation peaks were observed during heating,whereas a single peak was observed during cooling;these peaks correspond to the presence of the β2,R,and β19′ *** maximum strength and strain among the Ti–51at%ni SMAs were 1376 MPa and 29%,respectively,for the sample sintered at 900°C for 30 min because of this sample's minimal porosity.

关键词： titanium nickel alloys shape memory effect powder metallurgy (PM) microwave heating sintering microstructure mechanical properties

Coating of finely dispersed particles by two-fluid nozzle

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Particuology 2018年第3期16卷 80-93页

作者： n. Hampel e. Roydeva A. Buck e. Tsotsas Thermal Process engineering Otto yon Guericke University Universitatsplatz 2 39106 Magdeburg Germany

Particle coatings are used extensively to generate dispersed solids with well-defined properties, e.g., to protect active ingredients, with most coating processes using core particles of a diameter larger than 200 μm. This work contributes to the development of a coating process for fine dispersed particles （diam- eter less than 50 μm） by combining two particle-formulation processes, namely, coating and spray drying. The feasibility of the operation is based on and demonstrated by the innovative application of a two-fluid nozzle. experiments were conducted by using glass particles as core particles and sodium benzoate as the coating agent. The coating of finely dispersed particles is achieved by the spraying of particles and coating solution as a homogeneous suspension. The aim is to create droplets with only one contained particle at the nozzle outlet. After evaporation of the water in the droplet, a thin solid film is built on the particle surface. The suspension viscosity was measured and compared with empirical equations from the literature. The liquid-film thickness on the particle surface was calculated to predict the building of a uniform coating layer or agglomerates. In this study, the feasibility of pneumatic transport through the nozzle and an investigation of the process were illustrated. The agglomeration fraction and degree of coating of the particle surface were analyzed optically by scanning electron microscopy. In this way, the influence of different processes and suspension parameters on the product quality were determined.

关键词： Coating Spray drying Fine dispersed particle Two-fluid nozzle

OSCILLATORY BeHAVIOR OF SOLUTIOnS OF CeRTAIn THIRD ORDeR MIXeD neUTRAL DIFFeRenCe eQUATIOnS

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Acta Mathematica Scientia 2013年第1期33卷 218-226页

作者： e.THAnDAPAnI n.KAVITHA Ramanujan Institute for Advanced Study in Mathematics University of MadrasChennai 600 005India

The objective of this paper is to study the oscillatory and asymptotic properties of the mixed type third order neutral difference equation of the form△（an△^2（xn＋bnxn-τ1＋cnxn＋τ2））＋qnx^βn＋1-σ1＋pnx^^βn＋1＋σ2=0,where （an）, （bn}, （cn}, （qn} and （pn} are positive real sequences, β is a ratio of odd positive integers, τ1, τ2, and σ2 are positive integers. We establish some sufficient conditions which ensure that all solutions are either oscillatory or converges to zero. Some examples are presented to illustrate the main results.

关键词： oscillation third order mixed type neutral difference equation

effect of sodium modification on microstructure and mechanical properties of thick-walled AlSi6Cu2.5 rheocast component

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Transactions of nonferrous Metals Society of China 2010年第9期20卷 1643-1648页

作者： M.WeSSn n.e.AnDe RSSOn O.GRAnATH School of engineering Materials and Manufacturing-CastingJnkping University

The microstructure and tensile properties were investigated in a thick-walled section （approximately 45 mm×43 mm） of a rheocast component produced by the RheoMetalTM process. Due to the long solidification period of such components, it is expected that the A1-Si eutectic formed will be coarse. Therefore, sodium （na） was used as a modifying agent to reduce the coarseness of the eutectic. Tensile test bars were machined from three different sets of materials： 1） non-modified melt, 2） modified melt cast directly after na addition, and 3） modified melt cast 30 min after na addition. The alloy used was a secondary AlSi6Cu2.5 alloy （STenAL Rheol）, specially developed for rheocasting. The material was studied in the as-cast condition as well as after a T6 heat treatment. The results show that the Al-Si eutectic is significantly refined by the na addition, even after a fading time of 30 min. However, it is observed that the na modification generally has a detrimental effect on the mechanical properties, despite the structure refinement. This is especially true in the T6 heat treated condition, where the yield strength is reduced by more than 30%. Some possible mechanisms for the degradation of mechanical performance are discussed.

关键词： rheocasting thick-walled component eutectic modification mechanical properties sodium Al alloys

Advances and challenges in diagnosing and managing adult autoimmune enteropathy

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World Journal of Gastroenterology 2025年第2期31卷 128-131页

作者： Grigorios Christodoulidis Sara e Agko Marina n Kouliou Konstantinos e Koumarelas Dimitris Zacharoulis Department of General Surgery University Hospital of LarissaLarissa 41110Greece Department of Intensive Care Unit Asklepios Paulinen Clinic WiesbadenWiesbaden 65197Germany Department of emergency Medicine General Hospital of LarissaLarissa 41221Greece Department of Surgery University Hospital of LarissaLarissa 41334Greece

Autoimmune enteropathy(AIe)is a rare immune mediated disorder primarily affecting children,characterized by chronic diarrhea,malabsorption,vomiting,weight loss and villous *** has also been observed in adults presenting diagnostic and treatment challenges due to its overlap with other gastrointestinal disorders such as celiac *** diagnostic criteria for AIe include small bowel villous atrophy,lack of response to dietary restrictions,presence of anti-enterocyte antibodies,and predisposition to autoimmunity without severe *** criteria emphasize characteristic histological findings and exclusion of other causes of villous *** is associated with various autoimmune disorders and can present with overlapping features with Celiac disease,including villous atrophy but without significant intraepithelial *** primarily involves immunosuppression using corticosteroids,calcineurin inhibitors,and anti-tumor necrosis factor therapy,alongside nutri-tional *** the challenges,understanding AIe’s diverse manifest-ations and improving diagnostic criteria are essential for effective management and improved patient *** research is needed to elucidate the pathogenesis,disease progression and long-term outcomes of AIe.

关键词： Autoimmune enteropathy Diagnosis Prognosis Adult autoimmune enter-opathy and challenges Autoimmune enteropathy and treatment Autoimmune enteropathy and diagnostic criteria Pathophysiology of autoimmune enteropathy

Microstructures,Strength Characteristics and Wear Behavior of the Fe-based P/M Composites after Sintering or Infiltration with Cu–Sn Alloy

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Journal of Materials Science & Technology 2015年第12期31卷 1226-1231页

作者： Larisa n.Dyachkova eugene e.Feldshtein Institute of Powder Metallurgy Belarusian National Academy of Sciences Department of Mechanical engineering University of Zielona Góra

Some properties of the Fe-based P/M composites sintered and reinforced by infiltration with Cu-Sn alloy were *** is shown that the hardness of the sintered material is 2.5 times lower,tensile strength is 1.7 times lower and the wear resistance is 2.5-3.3 times lower in comparison with those of the infiltrated *** presence of pores on the friction surface of the sintered material affects the features of the wear *** to the specific morphology of copper in the infiltrated material,the phenomenon of selective mass transfer is observed and worn surfaces have a spongy-capillary texture.

关键词： Metal matrix composites(MMCs) Sintering Infiltration Strength characteristics Wear

Fo screen or not to screen： the prostate cancer dilemma

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Asian Journal of Andrology 2015年第1期17卷 44-45页

作者： nelson n Stone e David Crawford Departments of Urology and Radiation Oncology The Icahn School of Medicine at Mount Sinai New York NY USA Department of Surgery Division of Urology and Radiation Oncology The Anschutz Cancer Center The University of Colorado Health Sciences Center. Aurora. CO. USA.

The european Randomized Study of Screening for Prostate （eRSPC） has updated their previous seminal report on prostate cancer mortality comparing screened men to controls. now with 13 years follow-up, the rate ratio of prostate cancer mortality was 0.79 favoring the screened population. The authors concluded that there was a ＂substantial reduction in prostate cancer mortality attributable to testing with prostate-specific antigen （PSA）＂ but they also stated that a＂quantification of harms＂ needed to be addressed. The issue of harms was not addressed by the eRSPC （at least not in this report） and hence this additional statement most likely reflects the controversy currently surrounding the risks associated with over-diagnosis and treatment of indolent diseases inadvertently detected by a screening protocol, In addition, the positive results from this trial conflict with those of the prostate, lung, colorectal and ovarian （PLCO）2 study and reouire further elaboration.

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