Güler, Yurdahan
Loading...
Name Variants
Job Title
Prof. Dr.
Email Address
Main Affiliation
Matematik
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Sustainable Development Goals Report Points
SDG data could not be loaded because of an error. Please refresh the page or try again later.
Scholarly Output
10
Articles
20
Citation Count
65
Supervised Theses
0
10 results
Scholarly Output Search Results
Now showing 1 - 10 of 10
Article Citation - WoS: 0Citation - Scopus: 0The Klein-Gordon field and a relativistic particle as a system(Soc Italiana Fisica, 2007) Guler, Y.; Güler, Yurdahan; MatematikA 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: 14Citation - Scopus: 14The hamilton-jacobi treatment of supersymmetric quantum mechanics(World Scientific Publ Co Pte Ltd, 2001) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; 56389; MatematikWe study the Hamilton-Jacobi quantization of supersymmetric quantum mechanics. The equations of motion of the Grassmann variables are obtained from the integrability conditions. The results are in agreement with those obtained by Dirac's procedure.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; 56389; 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: 9Quantization of Floreanini-Jackiw chiral harmonic oscillator(Editrice Compositori Bologna, 1999) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; 56389; 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: 18Citation - Scopus: 20Multi-Hamilton-Jacobi quantization of O(3) nonlinear sigma model(World Scientific Publ Co Pte Ltd, 2001) Baleanu, Dumitru; Baleanu, D; Güler, W; Güler, Yurdahan; 56389; MatematikThe O(3) nonlinear sigma model is investigated using multi-Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method. By choosing an adequate extension of phase space we describe the transformed system by a set of three Hamilton-Jacobi equations and calculate the corresponding action.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; 56389; 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: 1Citation - Scopus: 1Hamilton-Jacobi quantization of systems with time-dependent constraints(Kluwer Academic/plenum Publ, 2002) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; 56389; MatematikHamilton-Jacobi formalism is used to investigate time-dependent constraint systems. It is proved that the generalization of Dirac's canonical quantization method in the nonstationary case can be obtained naturally in Hamilton-Jacobi formalism. The example of the relativistic particle in a plane wave is analyzed in detail.Article Citation - WoS: 21Citation - Scopus: 22Hamilton-Jacobi treatment of a non-relativistic particle on a curved space(Iop Publishing Ltd, 2001) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; 56389; MatematikIn this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.Article Citation - WoS: 0Citation - Scopus: 0Canonical quantization of constrained systems(Societa Italiana Di Fisica, 2005) Güler, Y; Güler, Yurdahan; Güler, Y; MatematikCanonical quantization of constrained systems is formulated using the Hamilton-Jacobi approach. Symplectic structure is constructed using fundamental Lagrange(Poisson) brackets. Consistency conditions are studied and the set of equations which determine the wave function are set.Article Citation - WoS: 0Citation - Scopus: 0Hamilton-Jacobi and symplectic analysis of a particle constrained on a circle(inst Physics Acad Sci Czech Republic, 2003) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; 56389; MatematikHamilton-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.
