Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Higher Order Finite Element Solution of the One-Dimensional Schrödinger Equation(John Wiley and Sons Inc., 1999) Eid, R.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Eid, R.The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region.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.Article Citation - Scopus: 5Structural Forms and Energies of NiN, N=12-14, Clusters(Assoc Sci Res, 1999) Güvenç, Ziya B.; Güvenç, Dilek; Jellinek, JuliusEquilibrium structural forms of the $Ni_n$, n=12-14, clusters, as defined by an embedded-atom potential, are obtained using molecular dynamics and thermal quenching simulations. The isomers (locally stable geometric forms) are distinguished from those stationary structures that correspond to saddle points of the potential energy surface. Isomer statistics are obtained using a large number of initial quenching configurations generated along high-energy trajectories (the energies are high enough to "melt" the clusters). Probabilities of sampling the basins of attraction of the different isomers are computed and the spectra of their energies are analyzed.Article Citation - WoS: 3Citation - Scopus: 4Higher Order Finite Element Solution of the One-Dimensional Schrodinger Equation(John Wiley & Sons inc, 1999) Eid, RThe one-dimensional Schrodinger equation has been examined by means of the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are calculated accurately to 20 significant figures using higher order shape functions in the usual isoparametric finite element method. Numerical results are given for an arbitrary polynomial potential of degree M. (C) 1999 John Wiley & Sons, Inc.