Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials

2010-02-01
Arda, Altug
Sever, Ramazan
TEZCAN, CEVDET
The Dirac equation is solved for some exponential potentials the hypergeometric-type potential, the generalized Morse potential, and the Poschl-Teller potential with any spin-orbit quantum number kappa in the case of spin and pseudospin symmetry. We have approximated for non s-waves the centrifugal term by an exponential form. The energy eigenvalue equations and the corresponding wave functions are obtained by using a generalization of the Nikiforov-Uvarov method.
CHINESE JOURNAL OF PHYSICS

Suggestions

Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential
IKHDAİR, SAMEER; Sever, Ramazan (2010-03-15)
We study the effect of spatially-dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3 + 1)-dimensions for any arbitrary spin-orbit kappa state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by means of the Nikiforov-Uvarov method, in closed form. This physical choice of the mass function leads to an exa...
Pseudospin symmetry and its applications
Aydoğdu, Oktay; Sever, Ramazan; Department of Physics (2009)
The pseudospin symmetry concept is investigated by solving the Dirac equation for the exactly solvable potentials such as pseudoharmonic potential, Mie-type potential, Woods-Saxon potential and Hulthén plus ring-shaped potential with any spin-orbit coupling term $\kappa$. Nikiforov-Uvarov Method, Asymptotic Iteration Method and functional analysis method are used in the calculations. The energy eigenvalue equations of the Dirac particles are found and the corresponding radial wave functions are presented in...
Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum
Ikhdair, Sameer M.; Sever, Ramazan (2007-10-01)
An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen pot...
Approximate Analytical Solutions of the Dirac Equation for Yukawa Potential Plus Tensor Interaction with Any kappa-Value
Arda, Altug; Sever, Ramazan (2013-11-01)
Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any kappa-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing tensor interaction has a Yukawa-like form. Closed forms of the energy eigenvalue equations and the spinor wave functions are computed by using the Nikiforov-Uvarov method. It is observed that the energy eigenvalue equations are consistent with the ones obtained before. Our num...
Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
IKHDAİR, SAMEER; Sever, Ramazan (2011-12-01)
A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the nonrelativistic bound state energy spectrum E(n) and the wave functions psi(n)(chi) in terms of the associated Laguerre polynomials in the framework of the Nikiforov-Uvarov method. Under the spin and pseudospin symmetric limits, the analytic eigenvalues and the corresponding two-component upper-and lower-spinors of the Dirac particle are obtained...
Citation Formats
A. Arda, R. Sever, and C. TEZCAN, “Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials,” CHINESE JOURNAL OF PHYSICS, pp. 27–37, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62817.