Path integral quantization of the theory of scalar changed particles interacting via Chern-Simons fields and its applications

Boz, Müge


Alıyev, Tahmasıb (1983-01-01)
Hamilton-Jacobi theory of continuous systems
Güler, Y. (Springer Science and Business Media LLC, 1987-8)
The Hamilton-Jacobi partial differnetial equation for classical field systems is obtained in a 5n-dimensional phase space and it is integrated by the method of characteristics. Space-time partial derivatives of Hamilton’s principal functionsS μ (Φ i ,x ν ) (μ,ν=1,2,3,4) are identified as the energy-momentum tensor of the system.
Quantum mechanics on curved hypersurfaces
Olpak, Mehmet Ali; Tekin, Bayram; Department of Physics (2010)
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac’s quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the fir...
Ballistic penetration of hardened steel plates
Deniz, Tansel; Yıldırım, Raif Orhan; Department of Mechanical Engineering (2011)
Ballistic testing is a vital part of the armor design. However, it is impossible to test every condition and it is necessary to limit the number of tests to cut huge costs. With the intro- duction of hydrocodes and high performance computers; there is an increasing interest on simulation studies to cutoff these aforementioned costs. This study deals with the numerical modeling of ballistic impact phenomena, regarding the ballistic penetration of hardened steel plates by 7.62 mm AP (Armor Piercing) projectil...
Prolongation structures, backlund transformations and painleve analysis of nonlinear evolution equations
Yurduşen, İsmet; Karasu, Emine Ayşe; Department of Physics (2004)
The Wahlquist-Estabrook prolongation technique and the Painleve analysis, used for testing the integrability of nonlinear evolution equations, are considered and applied both to the Drinfel'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Backlund transformations for the Drinfel'd-Sokolov system of equations are also found.
Citation Formats
M. Boz, “Path integral quantization of the theory of scalar changed particles interacting via Chern-Simons fields and its applications,” Ph.D. - Doctoral Program, Middle East Technical University, 1995.