WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
Browse
6 results
Search Results
Article Citation - WoS: 18Citation - Scopus: 21Multi-Hamilton Quantization of O(3) Nonlinear Sigma Model(World Scientific Publ Co Pte Ltd, 2001) Baleanu, D; Güler, WThe O(3) nonlinear sigma model is investigated using multi-Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method. By choosing an adequate extension of phase space we describe the transformed system by a set of three Hamilton-Jacobi equations and calculate the corresponding action.Article Citation - WoS: 6Citation - Scopus: 4Symmetries of the Dual Metrics(World Scientific Publ Co Pte Ltd, 2002) Baleanu, DIn this paper the symmetries of the dual manifold are investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. The dual conformal Killing vectors and dual conformal Killing-Yano tensors were investigated. In the case of an Einstein's metric g(munu) the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1 + 1 dimensions axe analyzed in details.Article Citation - WoS: 11Citation - Scopus: 9Dual Metrics and Nongeneric Supersymmetries for a Class of Siklos Space-Times(World Scientific Publ Co Pte Ltd, 2002) Baskal, S; Baleanu, DThe presence of Killing-Yano tensors implies the existence of nongeneric supercharges in spinning point particle theories on curved backgrounds. Dual metrics axe defined through their associated nondegenerate Killing tensors of valence two. Siklos space-times, which are the only nontrivial Einstein spares conformal to nonflat pp-waves are investigated with regard to the existence of their corresponding Killing and Killing-Yano, tensors. It is found that a class of Siklos space-times admit dual metrics and nongeneric supercharges.Article Citation - WoS: 14Citation - Scopus: 14The Hamilton-Jacobi Treatment of Supersymmetric Quantum Mechanics(World Scientific Publ Co Pte Ltd, 2001) Baleanu, D; Güler, YWe study the Hamilton-Jacobi quantization of supersymmetric quantum mechanics. The equations of motion of the Grassmann variables are obtained from the integrability conditions. The results are in agreement with those obtained by Dirac's procedure.Article Citation - WoS: 10Citation - Scopus: 9Dual Metrics for a Class of Radiative Space-Times(World Scientific Publ Co Pte Ltd, 2001) Baskal, S; Baleanu, DSecond-rank nondegenerate Killing tensors for some subclasses of space-times admitting parallel null one-planes ace investigated. Lichnerowicz radiation conditions are imposed to provide a physical meaning to space-times whose metrics are described through their associated second-rank Killing tensors. Conditions under which the dual space-times retain the same physical properties are presented.Article Citation - WoS: 10Citation - Scopus: 6Geometrization of the Lax Pair Tensors(World Scientific Publ Co Pte Ltd, 2000) Baskal, S; Baleanu, D; Bakal, S.The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space-times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.