Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 9Quantization of Floreanini-Jackiw Chiral Harmonic Oscillator(Editrice Compositori Bologna, 1999) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; MatematikThe Floreanini-Jackiw formulation for the chiral quantum mechanical system oscillator is a model of constrained theory with only second-class constraints in Dirac's classification. The covariant quantization needs an infinite number of auxiliary variables and a Wess-Zumino term. In this paper we investigate the path integral quatization of this model using Guler's canonical formalism. All variables are gauge variables in Guler's formalism. Siegel's action is obtained using Hamilton-Jacobi formulation of the systems with constraints.Article Citation - WoS: 7Citation - Scopus: 5Hamilton-Jacobi Quantization of the Finite-Dimensional Systems With Constraints(Editrice Compositori Bologna, 1999) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; MatematikThe Hamiltonian treatment of constrained systems in Guler's formalism leads us to the total differential equations in many variables. These equations are integrable if the corresponding system of partial differential equations is a Jacobi system. The main aim of this paper is to investigate the quantization of the finite-dimensional systems with constraints using the canonical formalism introduced by Guler. This approach is applied for two systems with constraints and the results are in agreement with those obtained by Dirac's canonical quatization method and path integral quantization method.Article Citation - Scopus: 3The Confined System Approximation for Solving Non-Separable Potentials in Three Dimensions(1998) Taşeli, H.; Eid, R.The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L2(Ω) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants.