An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials

Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.Comment: 13 page

Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in the closed form and the spinor wave functions by using an algebraic method. We also perform numerical calculations for the P\"oschl-Teller potential to show the effect of the tensor interaction. Our results are consistent with ones obtained before

Analytical Solutions of Schr\"odinger Equation for the diatomic molecular potentials with any angular momentum

Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.Comment: 21 page

Vitiligo in a Patient Treated with Interferon Alpha-2a for Behçet’s Disease

Behçet’s disease (BD) and vitiligo are diseases of unknown etiology. Interferon (IFN) alpha therapy is commonly used in Behçet uveitis. Interferon treatment in various diseases have also been observed causing certain autoimmune diseases such as vitiligo because of its immunomodulatory activity. The association between IFN therapy and vitiligo has been reported in the literature. We report a 21-year-old man with BD in whom vitiligo occurred during IFN treatment. To the best of our knowledge, this is the first reported case of such an association

Investigation of vehicle suspension parameter characteristics

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1988.Title as it appears in M.I.T. Graduate List, Feb. 1988: Parametric investigation of vehicle suspension characteristics.Bibliography: leaves 98-99.by Huseyin Akcay.M.S

Robust linear system identification in H(infinity).

In modern robust control, control system analysis and design are based on a nominal plant model and (norm) bounds on model uncertainty. The gap between the foundations on which robust control design is built and the tools and results that classical identification theory is able to deliver has fueled a renewed interest in worst-case deterministic formulations of the system identification problem. As a result, system identification techniques should be required to provide guaranteed (deterministic) error bounds in addition to a nominal model. One particular example of a deterministic formulation of an identification problem for robust control is the so-called identification in {\cal H}\sb\infty. In this problem formulation, the experimental data are taken to be the values of the frequency response of the unknown system at a given finite set of frequencies. The identification problem is to map this noisy frequency response data into an identified model. The identification algorithm is required to have many desirable properties. Among them it is required that the worst case identification error (measured in the {\cal H}\sb\infty norm) converge to zero as the noise decreases to zero and the number of frequency response data increases to infinity. Roughly speaking, the term robust convergence refers to this convergence property. In this thesis, the problem of system identification in {\cal H}\sb\infty is investigated in the case when the given frequency response data is not necessarily on a uniformly spaced grid of frequencies. A large class of robustly convergent identification algorithms are derived. A particular algorithm is further examined and explicit worst case error bounds (in the {\cal H}\sb\infty norm) are derived for both discrete-time and continuous-time systems. In the time-domain, the least squares parametric system identification algorithm is analyzed assuming that the noise is a bounded signal. A bound on the worst case parameter estimation error is derived. This bound shows that the worst case parameter estimation error decreases to zero as the bound on the noise is decreased to zero.Ph.D.Applied SciencesMechanical engineeringSystems scienceUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/128965/2/9308261.pd

Use of round mortise and tenon joints in light timber frame construction

Rectangular mortise and tenon joints have been widely used in barns and other building constructions in this country and other countries for centuries. Round mortise and tenon joints differ from these essentially only in the geometry of the joints, but information is lacking concerning their use in building frame construction. The primary objective of this study was to investigate the use of round mortise and tenon joints in light timber frame construction and to demonstrate potential applications. In order to achieve desired objectives, a low cost tenon cutting machine with steel pipe framework was developed to produce different size and diameter tenons. A simple piece of equipment was also built to trim excess material away from the seats of the tenons. Included with the study were design, development, and testing of mortise and tenon joints, development of a modular construction prototype building frame and, finally an evaluation of the performance characteristics of a small light timber frame constructed with squared timbers and round mortise and tenon joints. Results of the study showed that round mortise and tenon joint construction provides a simple straightforward method of constructing building frames. Erection techniques are simple and only basic tools are needed. Furthermore, standard parts can be manufactured locally by cottage level industry or regionally by major producers. In conclusion, round mortise and tenon joinery provides a means of utilizing waste wood and small diameter material in the construction of useful building frames. Some of the these building frames might be used to satisfy the simple needs for backyard storage sheds in developed countries while others might be used to provide the basic framework for shelters, small farm buildings, and light industrial buildings in developing countries