WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
Browse
4 results
Search Results
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 - 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.Conference Object A Petri Net-Based Inference Network for Design Automation Under Nondeterminism Applied To Mechatronic Systems(Pergamon Press Ltd, 1998) Erden, Z; Erkmen, AM; Erden, AThis paper introduces the completed part of an ongoing research, in which a Petri Net-based design inference network is developed for the representation and analysis of the functions and their interrelationships through information flow for the conceptual design stage of mechatronic systems in order to facilitate design automation. The theoretical framework behind the network is based on transition of Hybrid Automata into Petri Nets and application of this framework is introduced by a mechatronic design example.