7 resultados para harmonic oscillator elementary review classical quantum

em Brock University, Canada


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A detailed theoretical investigation of the large amplitude motions in the S, excited electronic state of formic acid (HCOOH) was done. This study focussed on the the S, «- So electronic band system of formic acid (HCOOH). The torsion and wagging large amplitude motions of the S, were considered in detail. The potential surfaces were simulated using RHF/UHF ab-initio calculations for the two electronic states. The energy levels were evaluated by the variational method using free rotor basis functions for the torsional coordinates and harmonic oscillator basis functions for the wagging coordinates. The simulated spectrum was compared to the slit-jet-cooled fluorescence excitation spectrum allowing for the assignment of several vibronic bands. A rotational analysis of certain bands predicted that the individual bands are a mixture of rotational a, b and c-type components.The electronically allowed transition results in the c-type or Franck-Condon band and the electronically forbidden, but vibronically allowed transition creates the a/b-type or Herzberg-Teller components. The inversion splitting between these two band types differs for each band. The analysis was able to predict the ratio of the a, b and c-type components of each band.

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This study had three purposes related to the effective implem,entation and practice of computer-mediated online distance education (C-MODE) at the elementary level: (a) To identify a preliminary framework of criteria 'or guidelines for effective implementation and practice, (b) to identify areas ofC-MODE for which criteria or guidelines of effectiveness have not yet been developed, and (c) to develop an implementation and practice criteria questionnaire based on a review of the distance education literature, and to use the questionnaire in an exploratory survey of elementary C-MODE practitioners. Using the survey instrument, the beliefs and attitudes of 16 elementary C'- MODE practitioners about what constitutes effective implementation and practice principles were investigated. Respondents, who included both administrators and instructors, provided information about themselves and the program in which they worked. They rated 101 individual criteria statenlents on a 5 point Likert scale with a \. point range that included the values: 1 (Strongly Disagree), 2 (Disagree), 3 (Neutral or Undecided), 4 (Agree), 5 (Strongly Agree). Respondents also provided qualitative data by commenting on the individual statements, or suggesting other statements they considered important. Eighty-two different statements or guidelines related to the successful implementation and practice of computer-mediated online education at the elementary level were endorsed. Response to a small number of statements differed significantly by gender and years of experience. A new area for investigation, namely, the role ofparents, which has received little attention in the online distance education literature, emerged from the findings. The study also identified a number of other areas within an elementary context where additional research is necessary. These included: (a) differences in the factors that determine learning in a distance education setting and traditional settings, (b) elementary students' ability to function in an online setting, (c) the role and workload of instructors, (d) the importance of effective, timely communication with students and parents, and (e) the use of a variety of media.

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The purpose ofthis qualitative study was to explore teachers' reflections on Multiple Intelligences theory and the processes they engage in when using the theory with elementary-aged exceptional students. FOllr public school teachers took part in the study. An introductory observation visit, semistructured in-depth interviews, field notes, and teachers' own written reflections served as data sources. Content-analysis was applied to review the data for thenles related to the research topic. The findings indicated several benefits of using Multiple Intelligences. This tlleory appeared to affect teachers' views of exceptionalleamers, directing the teachers' fOClIS to the students' potentials. It also seemed to have value for assisting teachers in planning an inclusive approacll, enhancing exceptional students' self-esteem, developing nletacognition, and prolTIoting cognitive engagement. Finally, the findings suggest that Multiple Intelligences has inlplications for teachers' professional development to reach a more diverse range of students.

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Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .

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This project presents a literature review of pediatric anxiety including the prevalence, etiology, and treatment of anxiety disorders in children, presented along with evidence indicating the short- and long-term effects of anxiety in young children, and the important role of the school in first response regarding the early identification and intervention for these children. A needs assessment was conducted using primary elementary school teachers to identify their level of confidence in their ability to identify and support children suffering with anxiety disorders in their classrooms. Results of the assessment indicated a strong need for a resource that provides both information and support for teachers in their interactions with children with anxiety disorders. The assessment results were used to guide the development of a handbook for elementary educators providing current empirical research detailing information about various forms of anxiety disorders commonly affecting young children in primary grades, as well as a list of available resources, and a series of six sequential lesson plans to be implemented for the entire class. Lesson plans are designed to facilitate increased levels of understanding toward the issues confronted by children suffering from anxiety, and fostering strong peer relations and character-building opportunities. Participants were provided with the handbook for evaluation, which indicated a strong support for the effectiveness and usefulness of the resource.

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This project is aligned with examining the role of the education system and the foster care context on the learning experiences of young children in the classroom. This project is a study of the literature and research conducted on the life experiences, adverse effects of these experiences (such as attachment disorder), socioemotional development, and resiliency of foster care children. Furthermore, the project explores the literature on how the experiences of these foster children traverse contexts and impact the education setting. This study also outlines specific strategies and practices for teachers and school staff in order to promote students’ resiliency, competency, behaviour management, and overall educational success and positive academic experience. These strategies resulted from a critical review of the literature and translated into the development of an informative handbook intended for teachers. The handbook developed in this study focuses on the understanding of the lives of foster care children, their histories, adverse experiences, socioemotional development, strategies to manage behaviour, unique needs, and encouraging their resiliency and success in school. To ensure the soundness of the handbook, 2 education liaisons at a Family and Child Services agency within Ontario and a former child and service social worker from Manitoba reviewed the first draft and provided comments on the validity of the content and the potential usability of the handbook for educators. Suggestions and comments provided by these experts were used to enhance the final product of the handbook.

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This research project examined the behavioural, social, and emotional issues affecting children and youth with conduct disorder. Based on the literature review, the deconstruction of theoretical and empirical studies, and findings from the needs assessment, Conduct Disorder: A Handbook for Elementary School Educators was created. This handbook was developed based on the evidence that conduct problems can most effectively be improved when multiple systems are included in the prevention and intervention of the disorder. Educators, related service providers, and the child all play an important role in designing and implementing effective interventions. Therefore, it is imperative to provide educators with the information necessary to begin this emerging collaborative process. The handbook was created as a tool for educators intending to enhance their knowledge when working with students with conduct disorder. A Needs Assessment was conducted to determine what educators wanted the handbook to contain to assist them in working with students displaying conduct problems. The educators evaluated the handbook, providing constructive feedback and confirming the potential value and practicality of this handbook for elementary school educators. The educators reported an increase in their understanding of conduct disorder, as well as a heightened awareness of the causal factors that contribute to the disorder. The list of community resources and agencies was thought to be a good starting point for educators looking for supplementary aids. The educators indicated that the handbook is a good reference tool to use when teaching students with conduct problems. The educators concluded with the hope that this handbook will be shared with others.