WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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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: 158Citation - Scopus: 181Hamiltonian Formulation of Systems With Linear Velocities Within Riemann-Liouville Fractional Derivatives(Academic Press inc Elsevier Science, 2005) Muslih, SI; Baleanu, D; Avkar, T.The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent. (c) 2004 Elsevier Inc. All rights reserved.Article Citation - WoS: 196Citation - Scopus: 229Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives(Iop Publishing Ltd, 2005) Muslih, SI; Baleanu, DThe classical fields with fractional derivatives are investigated by using the fractional Lagrangian forniulation. The fractional ELder-Lagrange equations were obtained and two examples were studied.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: 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.Article Citation - WoS: 34Hamiltonian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives(Iop Publishing Ltd, 2006) Baleanu, D; Rabei, E; Muslih, SIThe fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail.Article Citation - WoS: 31Citation - Scopus: 40Chemometric Determination of Naproxen Sodium and Pseudoephedrine Hydrochloride in Tablets by Hplc(Pharmaceutical Soc Japan, 2006) Özdemir, A; Aksoy, H; Üstündag, Ö; Baleanu, D; Dinç, E; Baleanud, DumitruA new chemometric determination by high-performance liquid chromatography (HPLC) with photodiode array (PDA) detection was implemented for the simultaneous determination of naproxen sodium and pseudoephedrine hydrochloride in tablets. Three chemometric calibration techniques, classical least squares (CLS), principle component regression (PCR) and partial least squares (PLS) were applied to the peak area at multiwavelength PDA detector responses. The combinations of HPLC with chernometric calibration techniques were called HPLC-CLS, HPLC-PCR and HPLC-PLS. For comparison purposes the HPLC method called the classic HPLC method was used to confirm the results obtained from combined HPLC-chemometric calibration techniques. A good chromatographic separation between two drugs with losartan potassium as an internal standard was achieved using a Waters Symmetry (R) C18 Column 5 mu m 4.6 +/- 250 mm and a mobile phase containing 0.2 m acetate buffer and acetonitrile (v/v, 40 : 60). The multiwavelength PDA detection was measured at five different wavelengths. The chromatograms were recorded as a training set in the mobile phase. Three HPLC-chemometric calibrations and the classic-HPLC method were used to test the synthetic mixtures of naproxen sodium and pseudoephedrine hydrochloride in the presence of the internal standard. The HPLC-chemometric approaches were applied to real samples containing drugs of interest. The experimental results obtained from HPLC-chemometric calibrations were compared with those obtained by a classic HPLC method.