On the path integral formulation and the evaluation of quantum statistical averages

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) .

Gadamer's transformation of hermeneutics : from Dilthey to Heidegger

Abstract: The purpose of this paper is to show how Gadamer's hermeneutics synthesizes the insights of both Heidegger and Dilthey in order to introduce a new hermeneutics. Gadamer's hermeneutics is based not only on the priority of ontology, as Heidegger insists, and neither is it only a product of life which can be objectively understood through study and rigorous method, as Dilthey suggests. For Gadamer, hermeneutics is the bringing together of ontology in terms of history. By this synthesis Gadamer not only places himself within the context of a Lebensphilosophie, but also shows that it is within language that Being can be disclosed according to a lived context. Throughout this paper the philosophies ofDilthey and Heidegger are explicated within a historical context as to bring out how, and why, Gadamer sees the need to surpass these philosophies. Through Gadamer's philosophy of play and the game, language, the dialogical model, application, and the fusion of horizons we can see how Gadamer's critique and questioning of these two philosophy leads to his new hermeneutics. Special attention is paid to the role in which these two contrasting philosophies were used to complement each other in the product of Gadamer' s philosophical hermeneutics as it is presented in his major work Truth andMethod. For Gadamer, the task of understanding is never complete. Therefore, his hermeneutics remains a dynamic structure with which we can always question the past and our traditions. This paper seeks to show his philosophical movements within these questions

The essence of a tacit intersection : a heuristic inquiry into nature-based leisure and personal transformation

There are a considerable number of programs and agencies that count on the existence of a unique relationship between nature and human development. In addition, there are significant bodies of literature dedicated to understanding developmentally focused nature-based experiences. This research project was designed to flirther the understanding of this phenomenon. Consequently, the purpose of this research endeavour was to discover the essence ofthe intersection ofpersonal transformation and nature-based leisure, culminating in a rich and detailed account of this otherwise tacit phenomenon. As such, this research built on the assumption of this beneficial intersection of nature and personal transformation and contributes to the understanding ofhow this context is supporting or generating of selfactualization and positive development. Heuristic methods were employed because heuristics is concerned with the quality and essence of an experience, not causal relationships (Moustakas, 1990). Heuristic inquiry begins with the primary researcher and her personal experience and knowledge of the phenomenon. This study also involved four other coresearchers who had also experienced this phenomenon intensely. Co-researchers were found through purposeful and snowball sampling. Rich narrative descriptions of their experiences were gathered through in-depth, semi-structured interviews, and artifact elicitation was employed as a means to get at co-researchers' tacit knowledge. Each coresearcher was interviewed twice (the first interview focused on personal transformation, the second on nature) for approximately four and a half hours in total. Transcripts were read repeatedly to discern patterns that emerged from the study of the narratives and were coded accordingly. Individual narratives were consolidated to create a composite narrative of the experience. Finally, a creative synthesis was developed to represent the essence of this tacit experience. In conclusion the essence of the intersection of nature-based leisure and personal transformation was found to lie in the convergence of the lived experience of authenticity. The physical environment of nature was perceived and experienced to be a space and context of authenticity, leisure experiences were experienced as an engagement of authenticity, and individuals themselves encountered a true or authentic self that emanated from within. The implications of these findings are many, offering suggestions, considerations and implications from reconsidered approaches to environmental education to support for selfdirected human development.

Words on wisdom: perspective transformation in a "learning in retirement institute" /

In this study, 7 men and women with an average age of 77 were interviewed regarding their experience of attending courses at a Learning in Retirement Institute (LRI) in southern Ontario. The purpose was to explore the role of wisdom in the learning of these retirees. Explicit theories of wisdom developed by selected philosophers, psychologists, and religious thinkers were compared to the implicit theories of wisdom that respondents expressed. Further comparisons were drawn between these implicit theories of wisdom and the act of perspective transformation in transformative learning. Some evidence was found that the development of wisdom compares favourably to perspective transformation, especially with regards to the behavioural changes associated with critical self-reflection. Among all the respondents, those 3 LRI stude.its who had also moderated courses indicated that they had experienced the most opportunities for critical self-reflection. These 3 also expressed deep satisfaction in having been able to put their learnings to use as teachers. A recommendation of this study is that opportunities for sharing and acting upon the results of discourse within Learning in Retirement Institutes should be implemented. In the absence of evaluation, opportunities for praxis (such as coop placements) must be developed so that students can measure their success against objective criteria and hence attach meaning to their studies.

Paradigms and prisons: a narrative of translation and transformation : my hero's journey from "at-risk" youth to teacher/learner in a jail setting /

All life is suffering. Life is the pursuit ofhappiness. These are two foundational Buddhist dictums that, in their simplicity, I have entirely misunderstood regarding their depth, misreading them as contradictory. Indeed, my superficial interpretations led me to Thoreau's life ofquiet desperation and deep depression. We come to know and bring understanding to our lives by storying them. My own Hero's Journey, the path from my egoic selftoward the universal Self, can be understood as the resultant translations and transformations. Inevitably each of us is involved in such a story, though most are unaware of the stages along our own Hero's journey. ' Narrative honours writing as a means of knowing. The contemplative reflection allows insight into our imprisoning paradigms, beliefs, behaviours, and blind spots. My research revisits and explores nodal experiences along my Hero's Journey through 4 categories: self, society, soil, and Self. While the value of this process of narrative inquiry lay in its ability to come to know and understand one's self, perhaps its greater value is of a more universal nature. My inquiry, while adding to the body of academic educational narrative literature, may also illuminate a path to educators, students, and all interested, encouraging a response to the call of their own Hero's journey. I am a teacher/learner in a jail setting, working with youth between the ages of 12 and 18 who have committed crimes such as armed robbery, assault, rape, and murder. As this thesis follows my continual development from egoic self/teacher/learner to universal Self/Teacher/Learner, it also enables me to both consciously and unconsciously open the ways in which I expand my care, compassion, and love to work with at-risk youth.

An exploration of transformation theory and the western tradition: a critical evaluation of a graduate studies class

This qualitative study is an exploration of transformation theory, the Western tradition, and a critical evaluation of a graduate studies class at a university. It is an exploration of assumptions that are embedded in experience, that influence the experience and provide meaning about the experience. An attempt has been made to identify assumptions that are embedded in Western experience and connect them with assumptions that shape the graduate class experience. The focus is on assumptions that facilitate and impede large group discussions. Jungian psychology of personality type and archetype and developmental psychology is used to analyze the group experience. The pragmatic problem solving model, developed by Knoop, is used to guide thinking about the Western tradition. It is used to guide the analysis, synthesis and writing of the experience of the graduate studies class members. A search through Western history, philosophy. and science revealed assumptions about the nature of truth, reality, and the self. Assumptions embedded in Western thinking about the subject-object relationship, unity and diversity are made explicit. An attempt is made to identify Western tradition assumptions underlying transformation theory. The critical evaluation of the graduate studies class experience focuses upon issues associated with group process, self-directed learning, the educator-learner transaction and the definition of adult education. The advantages of making implicit assumptions explicit is explored.

Organizational change: implications of culture and leadership in the transformation to a total quality management paradigm

The study was undertaken to investigate organizational readiness for change to a total quality management (TQM) paradigm as the corporate-wide strategy within a long-term care facility. The focus of the study was on leadership values and organizational cultural characteristics that could either accelerate or impede the change process at The Public Hospital. structurally, the ~tudy included 'three distinct components. The first component examined the management philosophy outlined by Deming (1986) and his contemporary Juran (1989) in order to determine what leadership values best support the new Total Quality Management paradigm. Secondly, this information was compared to present leadership values at The Public Hospital with the purpose of identifying opportunities for improvement within the organization's current culture as the hospital moves toward the desired TQM culture. The final component, a roadmap, was developed to reflect the most appropriate direction for organizational change at The Public Hospital.

The application of the structural correlation method to determine the reaction coordinate for a putative ring closure reaction

The cr ystal structure of the compound 2-benzoylethylidene-3-(2,4- dibromophenyl)-2,3-dihydro-5-phenyl-l,3,4-thiadiazole* C23H16Br2NZOS (BRMEO) has been determined by using three dimensiona l x-ray diffraction data. The crys tal form is monoclinic, space group P21/c, a = 17.492(4), o -.t' 0 R 0 b =: 16.979(1), c = 14.962(1) A, "X. =o= 90 ',= 106.46(1) , z = 8, graphite-monochromatized Mo~ rad iation, Jl= 0.710J3~, D = 1.62g/cc and o D = 1.65g/cc. The data were col lected on ~ Nonius CAD-4 c diffractometer. The following atoms were made anisotropic: Br, S, N, 0, C7, and C14-C16 for each i ndependent molecu le ; the rest were left isotropic. For 3112 independent refl ec tions with F > 6G\F), R == 0.057. The compound has two independent molecules within the asymmetric unit. Two different conformers were observed which pack well together. /l The S---O interaction distances of 2.493(6) and 2 . 478(7) A were observed for molecules A and B respectively. These values are consistent with earlier findings for 2-benzoylmethylene-3-(2,4-dibromophenyl)- ~~ 2,3-dihydro-5-phenyl-l,3,4-thiadiazole C22H14Br2N20S (BRPHO) and 2-benzoylpropylidene-3-(2,4-dibromophenyl)-2,3-dihydroiii ,'r 5-phenyl-l,3,4-thiadiazole C24H18Br2N20S (BRPETO ) where S---O distances are l ess than the van der Waals (3.251\) but greater than those expected for () a single bond (1.50A). From the results and the literature it appears obvious that the energy/reaction coordinate pathway has a minimum between the end structures (the mono- and bicyclic compounds). * See reference (21) for nomenclature.

The transformation of teachers: an adult learning approach

The study focused on the teacher as an adult learner rather than an instructor. A sample of three hundred and three elementary school teachers completed a two-part Likert survey questionnaire. The instrument was developed by the researcher in an attempt to operationalize Mezirow's Theory of Perspective Transformation. The four sub-scales collected information about teachers as they perceived themselves as adult learners and the way they conceptualize critical SelfReflection, Meaning perspectives and New Insights (Mezirow, 1978, 1981, 1989, 1990) within a framework of Mezirow's concept of Transformative Learning. Survey research methodology was used. Frequency distributions, means, and standard deviation were calculated. Reliability analysis and Pearson 'r' correlations established the internal consistency of items It Cross tabulations to describe differences in responses across demographic valuables were computed. The survey results indicated that teachers perceived themselves as self-directed learners. The findings support the need for a better understanding of the teacher as an adult learner so that teacher inservice programs and teacher supervision and evaluation can provide a viable learning alternative to the existing models used in practice.

The vibrational spectra and the normal coordinate analysis of thiocarbonye halides /|nby C. R. Subramaniam. -- 260 St. Catharines, Ont. : [s. n.],

The infrared and the Raman spectra of eSelF has been obtained for the first time and has been analysed to give the in-plane normal vibrational frequencies of the molecule, in the ground state. A normal co-ordinate analysis has been carried out for the molecules CSF2, CSClF and eSel 2 using a Urey-Bradley type of potential function and the elements of the [L] matrix elements, the distribution of the potential energy in Urey-Bradley space, and the displacement vector diagrams for the normal modes of vibration for these molecules, have been obtained. The bond for~e constants obtained through the normal co-ordinate analysis, have given some interesting results. The stretching force constant, Kes ' varies markedly with halogen substitution and the force constants KeF and Keel also vary with substitution.

Transformation in teaching : listening to every voice

Action research is a methodology that supports practitioner research. This study is an exploration of one researcher's practice using the living-theory approach to action research. Initially, my focus was to improve my practice by asking how I can facilitate transformative learning experiences with the teachers with whom I work. As part of this search, I examined the contradictions between my espoused and implicit values. In keeping with the evolving nature of my inquiry, I unveiled the telos that constituted the impetus for my search, which began as a tension about the quality of my interactions and ended as a quest to find my voice among the others'. I used personal narratives, journal entries, a videotaping session, interactions with critical friends and interviews with colleagues and administrators to engage in a process of continuing self- and interactive reflection. Throughout my study, I explored how theoretical concepts intertwine with personal experiences. In the final chapter, I share the possible connections between my living educational theory and a more general theory of transformative learning. I conclude my study with a look at the transformation process I underwent as a result of the study and the new questions I formulated as I began the action research spiral again.

Creating a Space for Self-Transformation: Factors of Success for Adult Literacy Learners with Specific Learning Difficulties

A significant number of adults in adult literacy programs in Ontario have specific learning difficulties. This study sought to examine the holistic factors that contributed to these learners achieving their goals. Through a case study design, the data revealed that a combination of specific learning methods and strategies, along with particular characteristics of the instructor, participant, and class, and the evidence of self-transformation all seemed to contribute to the participant's success in the program. Instructor-directed teaching and cooperative learning were the main learning methods used in the class. General learning strategies employed were the use of core curriculum and authentic documents, and using phonics, repetition, assistive resources, and using activities that appealed to various learning styles. The instructor had a history of both professional development in the area of learning disabilities as well as experience working with learners who had specific learning difficulties. There also seemed to be a goodness of fit between the participant and the instructor. Several characteristics of the participant seemed to aid in his success: his positive self-esteem, self-advocacy skills, self-determination, self-awareness, and the fact that he enjoyed learning. The size (3-5 people) and type of class (small group) also seemed to have an impact. Finally, evidence that the participant went through a self-transformation seemed to contribute to a positive learner identity. These results have implications for practice, theory, and further research in adult education.