Generalized local symmetries of the SO(2,1) invariant nonlinear sigma model

Satır, Ahmet


Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials
Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (2010-02-01)
The Dirac equation is solved for some exponential potentials the hypergeometric-type potential, the generalized Morse potential, and the Poschl-Teller potential with any spin-orbit quantum number kappa in the case of spin and pseudospin symmetry. We have approximated for non s-waves the centrifugal term by an exponential form. The energy eigenvalue equations and the corresponding wave functions are obtained by using a generalization of the Nikiforov-Uvarov method.
Investigation of HMO spectra of Huckel and Mobius type cyclacenes
Turker, L; Erkoç, Şakir (1997-01-01)
The Huckel molecular orbital spectra (HMO) of Huckel- and Mobius-type cyclacenes having 3-15 benzenoid rings were investigated and it was found that certain eigenvalues are topologically invariant, whereas others exhibit topological periodicity. Fbr example, Huckel-type cyclacenes having 2r (r: 2,3,4,...) benzenoid rings which possess nonbonding molecular orbitals (NBMO) and are thus expected to be open shell structures.
Extended dynamical symmetries of Landau levels in higher dimensions
Kürkcüoğlu, Seçkin; YURDUŞEN, İSMET (Springer Science and Business Media LLC, 2020-02-14)
Continuum models for time-reversal (TR) invariant topological insulators (Tis) in d >= 3 dimensions are provided by harmonic oscillators coupled to certain SO(d) gauge fields. These models are equivalent to the presence of spin-orbit (SO) interaction in the oscillator Hamiltonians at a critical coupling strength (equivalent to the harmonic oscillator frequency) and leads to flat Landau Level (LL) spectra and therefore to infinite degeneracy of either the positive or the negative helicity states depending on...
Discrete symmetries in quantum theory
Taşdan, İsmail Ufuk; Pak, Namık Kemal; Department of Physics (2015)
In this thesis, one of the most central problems of modern physics, namely the discrete symmetries, is discussed from various perspectives ranging from classical mechanics to relativistic quantum theory. The discrete symmetries, namely charge conjugation (C), parity (P), time reversal (T), which are connected by the so-called CPT Theorem are studied in detail. The anti-particles with a view to matter-anti-matter symmetry is also addressed and the anti-unitarity nature of the time reversal, as well as the CP...
Transformations of Data in Deterministic Modelling of Biological Networks
Agraz, Melih; Purutçuoğlu Gazi, Vilda (2015-05-21)
The Gaussian graphical model (GGM) is a probabilistic modelling approach used in the system biology to represent the relationship between genes with an undirected graph. In graphical models, the genes and their interactions are denoted by nodes and the edges between nodes. Hereby, in this model, it is assumed that the structure of the system can be described by the inverse of the covariance matrix, Theta, which is also called as the precision, when the observations are formulated via a lasso regression unde...
Citation Formats
A. Satır, “Generalized local symmetries of the SO(2,1) invariant nonlinear sigma model,” Ph.D. - Doctoral Program, Middle East Technical University, 1994.