Stationary, axi-symmetric Einstein field equations in higher dimensions: harmonic mappings uniqueness of solutions and inverse scattering tranform technique

Karasu, Atalay


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As the investigation of materials at nano scale become possible with today's technology it is observed that some physical phenomenons have different characteristics at atomistic scale than macroscopic one because of the quantum mechanical effects. One of these physical processes that differs at nano scale is the friction force. While it is expected that the friction force to be independent of contact area and velocity according to Amontos-Coulomb laws, it was observed that it changes by the effect of some p...
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Electrons moving under the effects of a two dimensional periodic potential and a magnetic field perpendicular to this two dimensional plane has been the focus of many different studies for a long time. The interplay between the two length scales in this problem, lattice constant and the characteristic magnetic length, results in interesting phenomena such as the Hofstadter's butterfly. The bulk of the studies done so far has focused on uniform magnetic fields. The only requirement for the vector potential i...
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The prompt and non-prompt production cross-sections for the chi(c1) and chi(c2) charmonium states are measured in pp collisions at root s = 7TeV with the ATLAS detector at the LHC using 4.5 fb(-1) of integrated luminosity. The chi(c) states are reconstructed through the radiative decay chi c -> J/psi gamma ( with J/psi -> mu(+)mu(-)) where photons are reconstructed from gamma -> e(+)e(-) conversions. The production rate of the chi(c2) state relative to the chi(c1) state is measured for prompt and non-prompt...
Citation Formats
A. Karasu, “Stationary, axi-symmetric Einstein field equations in higher dimensions: harmonic mappings uniqueness of solutions and inverse scattering tranform technique,” Ph.D. - Doctoral Program, Middle East Technical University, 1988.