High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture

A numerical method of high precision is used to calculate the energy eigenvalues and eigenfunctions for a symmetric double-well potential. The method is based on enclosing the system within two infinite walls with a large but finite separation and developing a power series solution for the Schr$\ddot{o}$dinger equation. The obtained numerical results are compared with those obtained on the basis of the Zinn-Justin conjecture and found to be in an excellent agreement.Comment: Substantial changes including the title and the content of the paper 8 pages, 2 figures, 3 table

Symmetric Triple Well with Non-Equivalent Vacua: Instantonic Approach

We show that for the triple well potential with non-equivalent vacua, instantons generate for the low lying energy states a singlet and a doublet of states rather than a triplet of equal energy spacing. Our energy splitting formulae are also confirmed numerically. This splitting property is due to the presence of non-equivalent vacua. A comment on its generality to multi-well is presented.Comment: 10 pages, 3 figures, 2 tables; minor changes; added reference

Spectrum of One-Dimensional Anharmonic Oscillators

We use a power-series expansion to calculate the eigenvalues of anharmonic oscillators bounded by two infinite walls. We show that for large finite values of the separation of the walls, the calculated eigenvalues are of the same high accuracy as the values recently obtained for the unbounded case by the inner-product quantization method. We also apply our method to the Morse potential. The eigenvalues obtained in this case are in excellent agreement with the exact values for the unbounded Morse potential.Comment: 11 pages, 5 figures, 4 tables; there are changes to match the version published in Can. J. Phy

Alternatives Strategies to Empower Youth Volunteering in Omani Society Using SWOTAnalysis Technique

The study aimed to develop strategic alternatives to activate volunteer work among Omani youth. SWOT analysis was used to indicate the strength, weaknesses, opportunities and challenges faced by youth. A questionnaire of 32 items with two domains was developed. An estimation of reliability using Cronbach-Alpha indicated 0.887 for level of effectiveness, and 0.918 for level of existences. A sample of 89 experts from civil society organizations and higher education institutions from different Omani governorates was selected. The results revealed that the most powerful aspects of volunteering were the incentives to encourage youth, notably the Sultan Qaboos Award for Volunteerings at the national level, and the existence of many charities, including those related to women associations, and others that provide voluntarily services to special needs people. The overall average weight of the strengths and weaknesses was 194.44 and 186.46 respectively. The main opportunities were reflected by existing governmental departments to follow up the work of the voluntary institutions, and the NGO civil societies’ global awareness of volunteering. Further, the study results showed that average percentage means of opportunities and challenges were 145.04 and 143.79 respectively. Considering these results, four strategic alternatives were developed

Design Principles of Sustainable Website Powered by Solar Energy

The present paper addresses the design of a sustainable green hosting website powered by solar energy as a type of renewable energy. Two websites are designed: a static website with a carbon dioxide-free address and a dynamic website with an organic address. The server used in the design process uses solar energy as a source of electricity

Using Social Media Campaigns to Activate Electronic Volunteering Platforms during COVID-19 Pandemic

We design and implement an advertising campaign using social media to encourage people to volunteer on online platforms as well as identify the effectiveness of online marketing in informing people and encouraging them to participate in volunteer platforms. It is shown that the expected turnout of young people to volunteer work through social networking platforms and awareness of the epidemic reduced its prevalence rate

Using Social Media Campaigns to Activate Electronic Volunteering Platforms during COVID-19 Pandemic

We design and implement an advertising campaign using social media to encourage people to volunteer on online platforms as well as identify the effectiveness of online marketing in informing people and encouraging them to participate in volunteer platforms. It is shown that the expected turnout of young people to volunteer work through social networking platforms and awareness of the epidemic reduced its prevalence rate

HIGH-PERFORMANCE SIMULATIONS OF POPULATION-GENETIC PROCESSES IN BACTERIAL COMMUNITIES USING THE HAPLOID EVOLUTIONARY CONSTRUCTOR SOFTWARE

Three high-performance versions of the Haploid Evolutionary Constructor program are presented (http://evol-constructor.bionet.nsc.ru). The software was designed for simulating the functioning and evolution of microbial communities. These high-performance versions are to be run on systems with shared and distributed memory, using CPU and/or GPU. Almost linear acceleration has been achieved on clusters and multi-core CPU. On GPU systems, the simulation time was reduced to several minutes (dozens of hours on CPU)

Phylostratigraphic analysis of gene networks of human diseases

Phylostratigraphic analysis is an approach to the study of gene evolution that makes it possible to determine the time of the origin of genes by analyzing their orthologous groups. The age of a gene belonging to an orthologous group is def ined as the age of the most recent ancestor of all species represented in that group. Such an analysis can reveal important stages in the evolution of both the organism as a whole and groups of functionally related genes, in particular gene networks. In addition to investigating the time of origin of a gene, the level of its genetic variability and what type of selection the gene is subject to in relation to the most closely related organisms is studied. Using the Orthoscape application, gene networks from the KEGG Pathway, Human Diseases database describing various human diseases were analyzed. It was shown that the majority of genes described in gene networks are under stabilizing selection and a high reliable correlation was found between the time of gene origin and the level of genetic variability: the younger the gene, the higher the level of its variability is. It was also shown that among the gene networks analyzed, the highest proportion of evolutionarily young genes was found in the networks associated with diseases of the immune system (65 %), and the highest proportion of evolutionarily ancient genes was found in the networks responsible for the formation of human dependence on substances that cause addiction to chemical compounds (88 %); gene networks responsible for the development of infectious diseases caused by parasites are signif icantly enriched for evolutionarily young genes, and gene networks responsible for the development of specif ic types of cancer are signif icantly enriched for evolutionarily ancient genes

Some subordination and superordination results with an integral operator

In this article, we obtain some subordination and superordination preserving properties of meromorphic univalent functions in the punctured open unit disk associated with an integral operator. Some Sandwich-type results are also presented