Ayse Berkdemir

Polynomial solutions of the Schrödinger equation for the generalized Woods-Saxon potential

The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods Saxon potential are obtained in terms of the Jacobi polynomials. Nikiforov-Uvarov method is used in the calculations. It is shown that the results are in a good agreement with the ones obtained before.

Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method

The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.

Exact Solutions of the Duffin?Kemmer?Petiau Equation for the Deformed Hulthen Potential

Using the Nikiforov–Uvarov method, an application of the relativistic Duffin–Kemmer–Petiau equation in the presence of a deformed Hulthen potential is presented for spin zero particles. We derived first-order coupled differential radial equations which enable the energy eigenvalues as well as the full wavefunctions to be evaluated by using the Nikiforov–Uvarov method that can be written in terms of hypergeometric polynomials.

Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential

The exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential is obtained for the s-wave relativistic energy spectrum. The energy eigenvalues and two-component spinor wavefunctions are derived analytically by using a systematical method which is called Nikiforov–Uvarov. It is seen that the energy eigenvalues and the wavefunctions strongly depend on the parameters of the potential. In addition, it is also shown that the non-relativistic limit can be reached easily and directly for a special case of the standard Woods–Saxon potential.

Microstructural Response to Growth Rate and Mg Additions during Directional Growth of Al-Cu-Mg Alloys

Al-rich Al-Cu-Mg alloys have wide range of applications for automotive and aerospace where the control of the original solidification microstructure is important to achieve desired properties. Under constant temperature gradient G (4.84±0.13 K.mm-1), a series of directional solidification experiments were performed at 6 different growth rates V (16.7 – 166.7 µm/s) and 6 different Mg contents C0-Mg (0 – 5 wt.% Mg) of Al – 5wt.% Cu – (0-5)wt.% Mg alloys. The solid-liquid interface was investigated in as-quenched specimens. Primary dendrite arm spacing λ1 was measured on longitudinal and transverse sections of the specimens. The variations of λ1 with respect to V and C0-Mg were determined and the results were compared to the related theoretical models and the published data.