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) .

Towards a just community: an examination of the development of cultural citizenship rights in Canada from a communitarian perspective

The notion of citizenship, while a basic human right, has come under scrutiny. It was once assumed a liberal inspired regime of citizenship rights would reign as the primary ideological perspective in the Western world, however this has not been the case. Numerous competing paradigms have questioned the premise upon which liberal guarantees of citizenship rights are based. In particular, communitarianism has subjected liberal rights discourse to a closer examination. Communitarian theory holds that universalist principles negate any articulation of community and its internal diversity, such as cultural citizenship. It is this understanding of citizenship that has taken hold in Canada. The Canadian political experience illustrates a number of attributes associated with communitarian thought. It is a collectivist society that articulates a notion of the common good, acknowledges the internal diversity of its citizens and possesses a highly developed deliberative democratic process. To this end, Canada can be described as being more communitarian than liberal in nature in the process it has adopted to address citizenship rights. However, the type of commuIiitarianism displayed in Canada differs from the political models examined by such scholars as Michael Sandel, Iris Marion Young or Will Kymlicka. Cultural citizenship rights are fluid and malleable in Canada. While no clear guarantees of citizenship rights exist, there is a common commitment by Canadians to engage in a fair, open and inclusive deliberative process. This model is unique to Canada; it cannot be exported in that it is a product of Canadian political culture. As a result, the contemporary demands of cultural citizenship are dealt with effectively and democratically in Canada in that the proper mechanisms for public deliberation exist.

When job dissatisfaction leads to customer-oriented citizenship behaviors

This thesis places boundary conditions on the withdrawal model in the frontline setting of service organizations by considering continuance commitment and supervisory support as moderators of the relationship between job dissatisfaction and customer-oriented citizenship behaviors (COCBs). Departing from traditional research in the areas of the service-profit chain and employee withdrawal, the author advances our understanding of conditions that may lead frontline service employees who are dissatisfied to deposit COCBs into the organizational system. Specifically, based on principles derived from social exchange theory, high continuance commitment and high supervisory support are expected to lead to COCBs, because under this condition the benefits of performing such behaviors are increased (i.e., promotion-based, reciprocity-based), while the costs are decreased (i.e., opportunity costs). Utilizing a sample of 127 frontline employees from both the financial services and travel agency industries, the hypothesized relationships are empirically supported using moderated hierarchical regression analysis. To conclude discussion, implications of the results for both academics and p

Generating finite integral relation algebras

Relation algebras and categories of relations in particular have proven to be extremely useful as a fundamental tool in mathematics and computer science. Since relation algebras are Boolean algebras with some well-behaved operations, every such algebra provides an atom structure, i.e., a relational structure on its set of atoms. In the case of complete and atomic structure (e.g. finite algebras), the original algebra can be recovered from its atom structure by using the complex algebra construction. This gives a representation of relation algebras as the complex algebra of a certain relational structure. This property is of particular interest because storing the atom structure requires less space than the entire algebra. In this thesis I want to introduce and implement three structures representing atom structures of integral heterogeneous relation algebras, i.e., categorical versions of relation algebras. The first structure will simply embed a homogeneous atom structure of a relation algebra into the heterogeneous context. The second structure is obtained by splitting all symmetric idempotent relations. This new algebra is in almost all cases an heterogeneous structure having more objects than the original one. Finally, I will define two different union operations to combine two algebras into a single one.

The neoliberalization of street vending policy in Lima, Peru: the politics of citizenship. property and public space in the production of a new urban marginality

Neoliberalism is having a significant and global impact on political, social and economic life across spaces. This work illustrates how neoliberalism is attempting to change the ways in which the urban poor - particularly those that participate in street vending - use urban spaces in Lima, Peru. Using municipal policies, newspaper articles and local academic texts I argue that there is a changing marginality in Lima that is being experienced by street vendors, and currently in los canas of Lima. In particular, I discuss formalization, a neoliberal strategy in street vending policy, which is used with eradication and social assistance strategies in attempts to re-regulate street vendors.

Youth, Global Citizenship and Help: A Critical Rhetorical Analysis of Free The Children

Since 1995 Free The Children (FTC) has grown to be one of the largest and most recognized youth-focused and youth-led non-governmental organizations (NGOs) in Canada. FTC has distinguished itself by developing slick marketing campaigns, promising youth that they will become agents of change who can make a significant contribution towards eradicating poverty and promoting global social justice. The organization has utilized the Internet, creating an engaging and dynamic web page used to promote its development initiatives and celebrate the altruistic actions of its young participants. FTC uses a variety of strategies including text, video and images to persuade the viewer to engage with and elicit support for the organization. FTC attracts viewers by highlighting the successes of its overseas initiatives and the contributions made by young Northern volunteers in the global South. The organization also uses celebrity ambassadors, and cultural events such as We Day to raise its profile. Using a critical rhetorical analysis, this thesis interrogates FTC’s online promotional materials, exploring how the organization uses rhetorical strategies to persuade young people to take an interest in social justice activities. More specifically, an examination of FTC web-based promotional materials identifies and problematizes the organization’s rhetorical emphasis on youth empowerment, global citizenship and direct forms of helping the global South. This thesis argues that FTC does not direct adequate attention to fostering critical awareness among it participants. Further, the organization fails to provide its online participants with the appropriate tools or opportunities to critically engage with the structural issues related to global inequities. This thesis also examines how the organization uses rhetoric that promotes simplistic, feel-good projects that avoid exposing young people to an analysis of global social injustices.

Job Demands and Organizational Citizenship Behavior: The Roles of Organizational Commitment and Social Interaction

Drawing from the Job Demands-Resources (JD-R) model and research on social exchange relationships, this study investigates the impact of three job demands (work overload, interpersonal conflict, and dissatisfaction with the organization’s current situation) on employees’ organizational citizenship behavior (OCB), the hitherto unexplored mediating role of organizational commitment in the link between job demands and organizational citizenship behavior (OCB), as well as how this mediating effect might be moderated by social interaction. Using a multi-source, two-wave research design, surveys were administered to 707 employees and their supervisors in a Mexican-based organization. The hypotheses were tested with hierarchical regression analysis. The results indicate a direct negative relationship between interpersonal conflict and OCB, and a mediating effect of organizational commitment for interpersonal conflict and dissatisfaction with the organization’s current situation. Further, social interaction moderates the mediating effect of organizational commitment for each of the three job demands such that the mediating effect is weaker at higher levels of social interaction. The study suggests that organizations aiming to instill OCB among their employees should match the immediate work context surrounding their task execution with an internal environment that promotes informal relationship building.

Prime Rational Functions and Integral Polynomials

Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, find one of its divisors in Z[x].