An investigation of the Hamiltonian formulation of singular systems

An approach to the shifted 1/N expansion method and some applications Omar, Mustafa; Sever, Ramazan; Department of Physics (1991)
An evolution operator approach for solving initial value problems Ergenç, Tanıl; Çelebi, Okay; Demiralp, Metin; Department of Mathematics (1988)
Studies on the perturbation problems in quantum mechanics Koca, Burcu; Taşeli, Hasan; Department of Mathematics (2004) In this thesis, the main perturbation problems encountered in quantum mechanics have been studied.Since the special functions and orthogonal polynomials appear very extensively in such problems, we emphasize on those topics as well. In this context, the classical quantum mechanical anharmonic oscillators described mathematically by the one-dimensional Schrodinger equation have been treated perturbatively in both finite and infinite intervals, corresponding to confined and non-confined systems, respectively.
On the consistency of the solutions of the space fractional Schroumldinger equation (vol 53, 042105, 2012) Bayin, Selcuk S. (2012-08-01) Recently we have reanalyzed the consistency of the solutions of the space fractional Schroumldinger equation found in a piecewise manner, and showed that an exact and a proper treatment of the relevant integrals prove that they are consistent. In this comment, for clarity, we present additional information about the critical integrals and describe how their analytic continuation is accomplished.
Design Optimization in Non-equilibrium Reacting Flows Eyi, Sinan; Yumusak, Mine (2010-07-16) The objective of this study is to develop a reliable and efficient design tool that can be used in chemically reacting flows. The flow analysis is based on axisymmetric Euler and the finite rate reaction equations. These coupled equations are solved by using Newton's method. Both numerical and analytical methods are used to calculate Jacobian matrices. Sensitivities are evaluated by using adjoint method. The performance of the optimization method is demonstrated for a rocket motor nozzle design.

Citation Formats

E. M. R. Mufleh, “An investigation of the Hamiltonian formulation of singular systems,” Ph.D. - Doctoral Program, Middle East Technical University, 1992.