arXiv subjects

Oktay Aydoğdu

Publications and source records attributed to Oktay Aydoğdu.

3 recordsLinked to original sources

arXiv2012

Scattering of a spinless particle by an asymmetric Hulth{é}n potential within the effective mass formalism

Effective mass Klein-Gordon equation for the asymmetric Hulth{é}n potential is solved in terms of hypergeometric functions. Results are obtained for the scattering and bound states with the position dependent mass and constant mass, as a special case. In both cases, we derive a condition for the existence of transmission resonance (T=1). We also study how the transmission resonance depends on the particle energy and the shape of the external potential.

math-ph↗

arXiv2012

Effective-Mass Dirac Equation for Woods-Saxon Potential: Scattering, Bound States and Resonances

Approximate scattering and bound state solutions of the one-dimensional effective-mass Dirac equation with the Woods-Saxon potential are obtained in terms of the hypergeometric-type functions. Transmission and reflection coefficients are calculated by using behavior of the wave functions at infinity. The same analysis is done for the constant mass case. It is also pointed out that our results are in agreement with those obtained in literature. Meanwhile, an analytic expression is obtained for the transmission resonance and observed that the expressions for bound states and resonances are equal for the energy values $E=\pm m$.

math-ph↗

arXiv2011

Scattering and Bound State Solutions of Asymmetric Hulthén Potential

One-dimensional time-independent Schrödinger equation is solved for the asymmetric Hulthén potential. Reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in non-relativistic region.

math-ph↗