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) .

The Falkland Islands War of 1982: a legal, diplomatic and strategic evaluation

The Falkland Islands War of 1982 was fought over competing claims to sovereignty over a group of islands off the east coast of South America. The dispute was between Argentina and the United Kingdom. Argentina claims the islands under rights to Spanish succession, the fact that they lie off the Argentine coast line and that in 1833 Great Britain took the islands illegally and by force. The United Kingdom claims the islands primarily through prescription--the fact that they have governed the islands in a peaceful, continuous and public manner since 1833. The British also hold that the population living on the islands, roughly eighteen hundred British descendants, should be able to decide their own future. The United Kingdom also lays claim to the islands through rights of discovery and settlement, although this claim has always been challenged by Spain who until 1811 governed the islands. Both claims have legal support, and the final decision if there will ever be one is difficult to predict. Sadly today the ultimate test of sovereignty does not come through international law but remains in the idea that "He is sovereign who can defend his sovereignty." The years preceding the Argentine invasion of 1982 witnessed many diplomatic exchanges between The United Kingdom and Argentina over the future of the islands. During this time the British sent signals to Argentina that ii implied a decline in British resolve to hold the islands and demonstrated that military action did more to further the talks along than did actual negotiations. The Argentine military junta read these signals and decided that they could take the islands in a quick military invasion and that the United Kingdom would consider the act as a fait accompli and would not protest the invasion. The British in response to this claimed that they never signaled to Argentina that a military solution was acceptable to them and launched a Royal Navy task force to liberate the islands. Both governments responded to an international crisis with means that were designed both to resolve the international crisis and increase the domestic popularity of the government. British Prime Minister Margaret Thatcher was facing an all-time low in popularity for post-War Prime Ministers while Argentine President General Galtieri needed to gain mass popular support so he could remain a viable President after he was scheduled to lose command of the army and a seat on the military junta that ran the country. The military war for the Falklands is indicative of the nature of modern warfare between Third World countries. It shows that the gap in military capabilities between Third and First World countries is narrowing significantly. Modern warfare between a First and Third World country is no longer a 'walk over' for the First World country.

Exploring the use of effective learning strategies to increase students' reading comprehension and test taking skills /

This study examined the effects of providing students with explicit instruction in how to use a repertoire of reading comprehension strategies and test taking skills when reading and responding to three types of questions (direct, inferential, critical). Specifically, the study examined whether providing students with a "model" of how to read and respond to the text and to the comprehension questions improved their reading comprehension relative to providing them with implicit instruction on reading comprehension strategies and test taking skills. Students' reading comprehension and test taking performance scores were compared as a function of instructional condition. Students from 2 grade 8 classes participated in this study. The reading component of the Canadian Achievement Tests, Third Edition (CAT/3) was used to identify students' level of reading comprehension prior to the formal instructional sessions. Students received either explicit instruction, which involved modelling, or implicit instruction, which consisted of review and discussion of the strategies to be used. Comprehension was measured through the administration of formative tests after each instructional session. The formative tests consisted of reading comprehension questions pertaining to a specific form of text (narrative, informational, graphic). In addition, students completed 3 summative tests and a delayed comprehension test which consisted of the alternative version of the CAT/3 standardized reading assessment. These data served as a posttest measure to determine whether students had shown an improvement in their reading comprehension skills as a result of the program delivery. There were significant differences in students' Canadian Achievement Test performance scores prior to the onset of the study. Students in the implicit group attained significantly higher comprehension scores than did students in the explicit group. The results from the program sessions indicated no significant differences in reading comprehension between the implicit and explicit conditions, with the exception of the 6th session involving the reading and interpreting of graphic text. Students in the explicit group performed significantly better when reading and interpreting graphic text than those in the implicit group. No significant differences were evident between the two study conditions across the three summative tests. Upon completion of the study, the results from the Canadian Achievement Test indicated no significant differences in performance between the two study conditions. The findings from this study reveal the effectiveness of providing students with explicit strategy instruction when reading and responding to various forms of text. Modelling the appropriate reading comprehension strategies and test taking skills enabled students to apply the same thought processes to their own independent work. This form of instruction enabled students in the explicit group to improve in their abilities to comprehend and respond to text and therefore should be incorporated as an effective form of classroom teaching.

The sedimentology of unconsolidated deltaic and aeolian sediments east of Dunnville, Ontario /

Surficial sediments east of Dunnville, Ontario representing a limited deltaic/lacustrine/aeolian system are investigated with the aim of defining and interpreting their geological history by means of exarrrrning their sedimentology and interrelationships. The Folk and \oJard grain size statistics of samples fran the area were calculated. These sample parameters were e1en plotted on maps to detennine regional patterns. The strongest pattern observed was one of distinct fining to the east, away fran the sand source. Aeolian deposits were fourrl to be better sorted than the surrcunding sediments. The grain size parameter values were also plotted on bivariate graphs in an attempt to separate the samples according to depositional environment. This exercise met with little success, as rrost of the sediments sampled in the area have similar grain size parameters. This is believed to be because the sediment sources for the different environments (delta, distal delta, aeolian dune) are intimately related, to the point that nnst dunes appear to have been sourcErl fran immediately local sediments. It is FOstulated that in such a srrall sedimentological sub-system, sediments were not involved in active transport for a length of time sufficient for the rraterial to cane to equilibritnn with its transporting medium. Thus, fe..v distinctive patterns of parameters were developed that would enable one to differentiate between various environments of neposition. The i.rnTaturity of rrany dune forms and the i.Imaturity of mineralogical composition of all deposits support the above hyt:XJthesis of limited transport time. Another hypothesis proposen is that eadh geologically or geographically distinct area or "sub-system" rray have its o,.m "signature" of grain size relationships as plotted on bivariate graphs. Thus, the emphasis, concerning graphs of this type, should not be placErl on attempting to nifferentiate between various environnents of deposition, hut raB1er on investigating the interrelationships between sanples am environments within that "sub-system". Through the course of this investigation, the existence of nelta plain distributary Channels in the thesis area is SUG0ested, and the mscovery of significantly mfferent sub-units within the TUnnville dune sediments is documented. It is inferred by reference to other authors interpretations of the glacial history of the area, that the tirre of effective aeolian acti vi ty in the Dunnville area was between 12,300 to 12,100 years R.p.

The Relationship between Participation in an Exercise Program and Body Image in Post-Menopausal Women Self-Reporting Osteoporosis

The current study investigated body image differences in post-menopausal women who self-reported having (SRO) or not having (SRN) osteoporosis and the impact of a 16-week exercise program on body image in these groups. Participants completed a measure of body image, and were randomly assigned to a 16-week exercise program or control group, stratified by self-reported osteoporosis status. After 16 weeks, they completed the same body image measure. There were no differences in body image between the two osteoporosis groups. The exercise intervention had a positive impact on body image for both the SRO and SRN groups. The exercise groups showed increases in fitness and health orientation and body areas satisfaction from baseline to 16-weeks, while the non-exercise group showed decreases in appearance and health evaluation, health orientation and body areas satisfaction. The results suggest an exercise program for post-menopausal women can lead to improvements in body image, regardless of osteoporosis status.