The ill-posed problem of quantizing space-time is replaced by a more determined and well-posed problem of regularizing quantum dynamics. The problem is then to eliminate the Heisenberg singularity from quantum mechanics as economically as possible. The concepts of regular and singular groups are explained and the Heisenberg singularity defined. This singularity infests not only the theory of space-time, but also the Bose-Einstein statistics and the theory of the gauge fields and interactions. It is responsible for most of the infinities of present quantum field theory. The key new conceptual step is to turn attention from observables to "dynamicals", the observable-valued-functions of time which actually enters into the Heisenberg dynamical equations. The dynamicals have separate algebras from the algebra and Lie algebra of the observables. This reconception allows for the possibility of clock-system entanglement that is missing from the usual singular dynamics, and implied by the concept of quantum space-time. The dynamical Lie algebra and the resulting Lie group are regularized for an example system, the time-dependent isotropic harmonic oscillator of arbitrary finite dimension. The result is a quantize space-time, but also momentum-energy and every other dynamical variable in the theory. This method is readily extended to general dynamic quantum systems.

published_or_final_version / abstract / Medicine / Master / Doctor of Medicine

Thesis (Ph. D.)--Oregon State University, 2009. / Printout. Includes bibliographical references (leaves 247-257). Also available on the World Wide Web.

Thesis (Ph. D.)--University of Missouri-Columbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 60-66). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 60-66). Also available on the Internet.

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This research studies the effects of group stewardship and group learning on permanent work groups performing the core work and service processes in their organizations. Stewardship has been proposed as a potentially significant form of intrinsic motivation that causes people to act collectively in the best interests of their organization's stakeholders. However, stewardship has not been operationalized nor have its antecedents and consequences been empirically tested in prior field research. After defining group stewardship, the construct is shown to be distinct from related concepts such as psychological ownership and identification with the organization. While previous research has studied the concepts of individual and organizational learning, the concept of group learning is just emerging in the group effectiveness literature. Group learning is shown to be a multidimensional concept including integration of external perspectives, within-group collaboration, and practical application through experimentation. Within and between analysis (WABA) is utilized to determine which task, group and organizational constructs relate to the development of group stewardship at the individual, group and organizational levels of analysis. Four constructs, the need for analysis in doing the group's work, group potency, affective trust, and identification with the organization, are shown to be especially significant in developing group stewardship. Additionally, each of these four factors is shown to support different aspects of group learning. Finally, group stewardship is shown to be highly correlated with the presence of group learning, proactive behaviors, group performance, and employee job satisfaction. / Ph. D.

The purpose of this survey study was to evaluate the current practice of inpatient group therapy in general hospital psychiatric units in a southeastern state and to determine whether there was a need for a more systematic method of designing, implementing, and evaluating general hospital group therapy. A second major purpose was to test a model to determine if it could be used to evaluate current practices of general hospital psychiatric group therapy on a more global basis. The history of group therapy and current nationwide statistical data relating to general hospital psychiatric units were summarized. A survey which addressed unit operations, unit staffing patterns, types of patients, and general practices regarding psychiatric unit group therapy was administered to 35 general hospital psychiatric unit administrators in a southeastern state. A standard interview protocol was developed and administered on-site to six group therapy practitioners. These interviews gathered information relative to specific unit group therapy practices, evaluated whether Group Pentagon components were utilized in group therapy practices, and identified factors influencing unit group therapy practice. An analysis of the available literature indicated there was little information relative to the practice of group therapy on general hospital psychiatric units. The literature analysis also revealed no consistent model or procedures for the design, implementation, and evaluation of group therapy in general hospital psychiatric units. The survey and interviews demonstrated that group therapy programs appeared fragmented, varied across units, and did not appear to be designed, implemented, or evaluated in a consistent manner. During the interviews, the practitioners described the lack of many of the conditions necessary for the provision of effective group therapy on their general hospital psychiatric units. The literature review analysis, survey, and interviews indicated the components of the Group Pentagon were not utilized in general hospital group therapy programs. The Group Pentagon provided a useful model for evaluating overall group therapy programs, as well as reviewing specific group therapy procedures. Finally, this research established a protocol for evaluating general hospital and potentially other group therapy practices. / Ed. D.

For a finite group G = {g_0 = 1, g_1,. . ., g_{n-1}} , we can associate independent variables x_0, x_1, . . ., x_{n-1} where x_i = x_{g_i}. There is a natural action of Aut(G) on C[x_0, . . . ,x_{n-})]. Let C_1, . . . , C_r be the conjugacy classes of G. If C = {g_{i_1}, g_{i_2}, . . . , g_{i_u }} is a conjugacy class, then let x(C) = x_{i_1} + x_{i_2} + . . . + x_{i_u}. Let ρG be the representation of Aut(G) on C[x_0, . . . , x_(n-1)]/〈x(C_1), . . . , x(C_r) 〉 and let Χ_G be the character afforded by ρ_G. If G is a dihedral group of the form D_2p, D_4p or D_{2p^2}, with p an odd prime, I show how Χ_G splits into irreducible constituents. I also show how the module C[x_0, . . . ,x_{n-1}]/ decomposes into irreducible submodules. This problem is motivated by results of Humphries [2] relating to random walks on groups and the group determinant.