Publications (69)100.72 Total impact
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ABSTRACT: We study the thermodynamic quantities such as the Helmholtz free energy, the mean energy and the specific heat for both the KleinGordon, and Dirac equations. Our analyze includes two main subsections: ($i$) statistical functions for the KleinGordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts ($ii$) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverselinear potential by assuming that the scalar potential field is strong ($A \gg 1$). We restrict ourselves to the case where only the positive part of the spectrum gives a contribution to the sum in partition function. We give the analytical results for high temperatures. 
Article: A parametric approach to supersymmetric quantum mechanics in the solution of Schrödinger equation
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ABSTRACT: We study exact solutions of the Schrödinger equation for some potentials. We introduce a parametric approach to supersymmetric quantum mechanics to calculate energy eigenvalues and corresponding wave functions exactly. As an application we solve Schrödinger equation for the generalized Morse potential, modified Hulthen potential, deformed RosenMorse potential and PoschlTeller potential. The method is simple and effective to get the results.  [Show abstract] [Hide abstract]
ABSTRACT: In this work, we study the Dirac equation with scalar, vector, and tensor interactions. The Dirac Hamiltonian contains quadratic scalar and vector potentials, as well as a tensor potential. The tensor potential is taken as a sum of a linear term and a Coulomblike term. It is shown that the tensor potential preserves the form of the harmonic oscillator potential and generates spinorbit terms. The energy eigenvalues and the corresponding eigenfunctions are obtained for different alternatives.  [Show abstract] [Hide abstract]
ABSTRACT: The Dirac equation, with positiondependent mass, is solved approximately for the generalized Hulthén potential with any spinorbit quantum number κ. Solutions are obtained by using an appropriate coordinate transformation, reducing the effective mass Dirac equation to a Schrödingerlike differential equation. The NikiforovUvarov method is used in the calculations to obtain energy eigenvalues and the corresponding wave functions. Numerical results are compared with those given in the literature. Analytical results are also obtained for the case of constant mass and the results are in good agreement with the literature. Keywordsgeneralized Hulthén potentialDirac equationpositiondependent massNikiforovUvarov method  [Show abstract] [Hide abstract]
ABSTRACT: The Dirac–Morse problem is investigated within the framework of an approximation to the term proportional to 1/r2 in the view of the positiondependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov–Uvarov method for any κvalue. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constantmass for pseudospin, and spin cases, respectively.  [Show abstract] [Hide abstract]
ABSTRACT: The DiracMorse problem are investigated within the framework of an approximation to the term proportional to $1/r^2$ in the view of the positiondependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the NikiforovUvarov method for any $\kappa$value. It is also studied the approximate energy eigenvalues, and corresponding wave functions in the case of the constantmass for pseudospin, and spin cases, respectively.  [Show abstract] [Hide abstract]
ABSTRACT: The energy eigenvalues and the corresponding eigenfunctions of the onedimensional KleinGordon equation with qparameter PoschlTeller potential are analytically obtained within the positiondependent mass formalism. The parametric generalization of the NikiforovUvarov method is used in the calculations by choosing a mass distribution.  [Show abstract] [Hide abstract]
ABSTRACT: Transport theory methods can be applied to optical oceanography to solve forward and inverse problems. The combination of delta function representing forward and backward scattering with isotropic scattering is used to obtain scalar and plane irradiances for HenyeyGreenstein phase function. Once the irradiances are obtained, the apparent optical properties can be found analytically and numerically.  [Show abstract] [Hide abstract]
ABSTRACT: The solvability of The Dirac equation is studied for the exponentialtype potentials with the pseudospin symmetry by using the parametric generalization of the NikiforovUvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and qdeformed RosenMorse potentials are obtained within the framework of an approximation to the spinorbit coupling term, so the solutions are given for any value of the spinorbit quantum number $\kappa=0$, or $\kappa \neq 0$.  [Show abstract] [Hide abstract]
ABSTRACT: Dirac equation is solved for some exponential potentials, hypergeometrictype potential, generalized Morse potential and PoschlTeller potential with any spinorbit quantum number $\kappa$ in the case of spin and pseudospin symmetry, respectively. We have approximated for non swaves the centrifugal term by an exponential form. The energy eigenvalue equations, and the corresponding wave functions are obtained by using the generalization of the NikiforovUvarov method. Comment: 14 pages  [Show abstract] [Hide abstract]
ABSTRACT: The Schrödinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrödinger equation into a second order differential equation by using an appropriate coordinate transformation. The NikiforovUvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.  [Show abstract] [Hide abstract]
ABSTRACT: The KleinGordon equation is solved approximately for the Hulth\'{e}n potential for any angular momentum quantum number $\ell$ with the positiondependent mass. Solutions are obtained reducing the KleinGordon equation into a Schr\"{o}dingerlike differential equation by using an appropriate coordinate transformation. The NikiforovUvarov method is used in the calculations to get an energy eigenvalue and and the wave functions. It is found that the results in the case of constant mass are in good agreement with the ones obtained in the literature. Comment: 15 pages, two tables  [Show abstract] [Hide abstract]
ABSTRACT: A general form of the effective mass Schrödinger equation is solved exactly for Hulthen potential. NikiforovUvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.  [Show abstract] [Hide abstract]
ABSTRACT: The Schr\"{o}dinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schr\"{o}dinger equation into a second order differential equation by using an appropriate coordinate transformation. The NikiforovUvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions. Comment: 20 pages  [Show abstract] [Hide abstract]
ABSTRACT: Effective mass Schrödinger equation is solved exactly for a given potential. NikiforovUvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrödinger equation is also solved for the Morse potential transforming to the constant mass Schrödinger equation for a potential. One can also get solution of the effective mass Schrödinger equation starting from the constant mass Schrödinger equation.  [Show abstract] [Hide abstract]
ABSTRACT: PTsymmetric solutions of Schrödinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the positiondependent mass. A general point canonical transformation is applied by using a free parameter. Three different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.  [Show abstract] [Hide abstract]
ABSTRACT: Exact solution of Schrödinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov–Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of ℓ and n with n ≤ 5 for some diatomic molecules.  [Show abstract] [Hide abstract]
ABSTRACT: Exact solution of Schrödinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov–Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of ℓ and n with n≤ 5. They are applied to several diatomic molecules.  [Show abstract] [Hide abstract]
ABSTRACT: Exact solutions of Schrodinger equation are obtained for the modified Kratzer and the corrected Morse potentials with the positiondependent effective mass. The bound state energy eigenvalues and the corresponding eigenfunctions are calculated for any angular momentum for target potentials. Various forms of point canonical transformations are applied. PACS numbers: 03.65.w; 03.65.Ge; 12.39.Fd Keywords: Morse potential, Kratzer potential, Positiondependent mass, Point canonical transformation, Effective mass Schr\"{o}dinger equation. Comment: 9 pages  [Show abstract] [Hide abstract]
ABSTRACT: The HN method is used to solve radiation transfer problems for plane parallel media for anisotropic scattering. This approach is based on the use of the angular distributions in terms of singular eigenfunctions of the method of elementary solutions. Two analytical expressions are derived for the coefficients of the power series expansions in exit distributions.
Publication Stats
688  Citations  
100.72  Total Impact Points  
Top Journals
Institutions

19772014

Middle East Technical University
 Department of Physics
Engüri, Ankara, Turkey


20032012

Baskent University
 • Faculty of Engineering
 • Department of Mechanical Engineering
 • Department of Electrical and Electronic Engineering
Engüri, Ankara, Turkey


19882008

Ankara University
 • Faculty of Engineering
 • Department of Physics
 • Department of Surgery
Engüri, Ankara, Turkey
