WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 3Citation - Scopus: 2Surface Terms, Angular Momentum and Hamilton-Jacobi Formalism(Soc Italiana Fisica, 2003) Güler, Y; Baleanu, Dumitru; Baleanu, D; Cenk, M; MatematikQuadratic Lagrangians are introduced adding surface terms to a free-particle Lagrangian. Geodesic equations are used in the context of the Hamilton-Jacobi formulation of a constrained system. The manifold structure induced by the quadratic Lagrangian is investigated.Article Citation - WoS: 4Citation - Scopus: 32d Gravity and the Hamilton-Jacobi Formalism(Soc Italiana Fisica, 2002) Baleanu, D; Baleanu, Dumitru; Güler, Y; MatematikHamilton-Jacobi formalism is used to study 2D gravity and its SL(2, R) hidden symmetry. If the contribution of the surface term is considered, the obtained results coincide with those given by the Dirac and Faddeev-Jackiw approaches.Article Citation - WoS: 4Citation - Scopus: 3Chain and Hamilton-Jacobi Approaches for Systems With Purely Second-Class Constraints(Soc Italiana Fisica, 2003) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; MatematikThe equivalence of the chain method and Hamilton-Jacobi formalism is demonstrated. The stabilization algorithm of Hamilton-Jacobi formalism is clarified and two examples are presented in details.Article Citation - WoS: 4Citation - Scopus: 3Killing-Yano Symmetry for a Class of Space-Times Admitting Parallel Null 1-Planes(Soc Italiana Fisica, 2002) Baleanu, D; Baleanu, Dumitru; Baskal, S; MatematikA possible generalization of plane fronted waves with parallel rays (gpp-wave) falls into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the zero-curvature condition is given, the Killing-Yano tensors of order two and three are found and the corresponding Killing tensors are constructed. Henceforth, the compatibility between geometric duality and non-generic symmetries is presented.Article Citation - WoS: 1Citation - Scopus: 1Hamilton-Jacobi Formalism of the Massive Yang-Mills Theory Revisited(Soc Italiana Fisica, 2003) Baleanu, D; Baleanu, Dumitru; MatematikUsing Hamilton-Jacobi formalism we investigated the massive Yang-Mills theory on both extended and reduced phase-space. The integrability conditions were discussed and the actions were calculated.Article Citation - WoS: 3Citation - Scopus: 2Symmetries of Nut-Kerr Dual Metrics(Soc Italiana Fisica, 2001) Baleanu, D; Baleanu, Dumitru; MatematikThe symmetries of NUT-Kerr-Newman (NUT-KN) dual metrics are analysed. The NUT-Kerr-Newman dual spinning space is constructed in the presence of torsion.Article Citation - WoS: 168Citation - Scopus: 187Lagrangians With Linear Velocities Within Riemann-Liouville Fractional Derivatives(Soc Italiana Fisica, 2004) Baleanu, D; Avkar, TLagrangians linear in velocities were analyzed using the fractional calculus and the Euler-Lagrange equations were derived. Two examples were investigated in details; the explicit solutions of Euler-Lagrange equations were obtained and the recovery of the classical results was discussed.Article Citation - WoS: 7Citation - Scopus: 7Quantization of Classical Fields With Fractional Derivatives(Soc Italiana Fisica, 2005) Baleanu, D; Muslih, SIThe classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The path integral formulation for Dirac field with fractional derivatives of order 2/3 and a non-relativistic particle interacting with an external field are obtained.Article The Klein-Gordon Field and a Relativistic Particle as a System(Soc Italiana Fisica, 2007) Guler, Y.A system which is composed of a Klein-Gordon field and a relativistic particle is studied as a singular system using the Hamilton-Jacobi formulation. The system is identified as a free particle, with position four-vector x(mu), conserved linear momentum B-mu, and angular-momentum tensor M-mu nu, without canonical quantization. Four-vectors x(mu) have proper Poisson bracket relations with B-mu exhibiting the fact they are real position four-vector components, not continuous indices on the mechanical variables.Article Citation - WoS: 5Citation - Scopus: 5Discrete Variational Principles for Higher-Order Lagrangians(Soc Italiana Fisica, 2005) Baleanu, D; Jarad, FThe discrete Euler-Lagrange equations for higher-order Lagrangians and the corresponding discrete Hamiltonian are obtained. One example containing second-order difference is investigated in details.