WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Conference Object Citation - WoS: 1Citation - Scopus: 1Killing-Yano Tensors and Superintegrable Systems(inst Physics Acad Sci Czech Republic, 2004) Defterli, Ö; Baleanu, DKilling-Yano (KY) and Killing tensors of the four types of metrics, that represent the two-dimensional spaces given in Darboux's classification, are obtained. It is proved that all spaces admit dual manifolds and their KY tensors are calculated.Conference Object Citation - WoS: 3Citation - Scopus: 3About Metafluid Dynamics(inst Physics Acad Sci Czech Republic, 2004) Baleanu, DThe analog of Maxwell electromagnetism for hydrodynamic turbulence, the metafluid dynamics, is investigated as a constrained system within fractional Riemann-Liouville derivatives.Article Citation - WoS: 5Citation - Scopus: 4Killing-Yano Tensors and Angular Momentum(inst Physics Acad Sci Czech Republic, 2004) Baleanu, D; Defterli, Z; Defterli, ÖzlemNew geometries were obtained by adding a suitable term involving the components of the angular momentum to the corresponding free Lagrangians. Killing vectors, Killing-Yano and Killing tensors of the obtained manifolds were investigated.Article Citation - WoS: 6Citation - Scopus: 6Metafluid Dynamics and Hamilton-Jacobi Formalism(inst Physics Acad Sci Czech Republic, 2005) Baleanu, DMetafluid dynamics was investigated within Hamilton-Jacobi formalism and the existence of the hidden gauge symmetry was analyzed. The obtained results are in agreement with those of Faddeev-Jackiw approach.Conference Object Variational Formulation of the Schrodinger Field(inst Physics Acad Sci Czech Republic, 2003) Baleanu, DThe variational formulation of the Schrodinger field was investigated and the applicability of the chain method was analyzed. Using Batalin-Fradkin-Tyutin formalism a gauge invariant theory was constructed.Article Hamilton-Jacobi and Symplectic Analysis of a Particle Constrained on a Circle(inst Physics Acad Sci Czech Republic, 2003) Baleanu, D; Güler, YHamilton-Jacobi and modified Faddeev-Jackiw methods were applied to investigate the motion of a particle moving on a circle. The results of both methods were found to be equivalent with those of Dirac's formalism. Besides, the importance of the Lagrange multipliers was analyzed and the action of the second-class constrained system was given.Article Citation - WoS: 77Citation - Scopus: 95Formulation of Hamiltonian Equations for Fractional Variational Problems(inst Physics Acad Sci Czech Republic, 2005) Baleanu, D; Muslih, SIAn extension of Riewe's fractional Hamiltonian formulation is presented for fractional constrained systems. The conditions of consistency of the set of constraints with equations of motion are investigated. Three examples of fractional constrained systems are analyzed in details.Conference Object Citation - WoS: 21Citation - Scopus: 25About Fractional Supersymmetric Quantum Mechanics(inst Physics Acad Sci Czech Republic, 2005) Muslih, SI; Baleanu, DFractional Euler-Lagrange equations are investigated in the presence of Grassmann variables. The fractional Hamiltonian and the path integral of the fractional supersymmetric classical model are constructed.Conference Object Hamilton-Jacobi Quantization of Constrained Systems(inst Physics Acad Sci Czech Republic, 2001) Güler, Y; Baleanu, DThe path integral quantization of contrained systems is analysed using Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method.Conference Object Citation - WoS: 2Citation - Scopus: 2Hamilton-Jacobi Formulation of the Harada Gauged Floreanini-Jackiw Action(inst Physics Acad Sci Czech Republic, 2002) Güler, Y; Baleanu, DWe study the front-form Harada gauged Floreanini-Jackiw action and its BRST-anti-BRST symmetry within Hamilton-Jacobi formalism.