On the Solution of the Generalized Symmetric Woods-Saxon Potential in the Dirac Equation

Yıl 2018, Sayı: 2, 435 - 438, 19.08.2018

Bekir Can Lutfuoglu

Öz

In this work, we present a solution to the Dirac
equation that is coupled with vector and scalar generalized symmetric
Woods-Saxon potential energy in one plus one space-time.  The chosen potential energy has a flexible
structure to examine four different physical problems. The potential energy can
be a barrier or well depend on being attractive or repulsive. Furthermore, the
included surface effects can be attractive or repulsive. Therefore, in one
class a potential barrier occurs with a pocket or an extra barrier nearby the
effective radius. Similar effects occur in the potential well whether the
surface effects are repulsive or attractive. Here we use the usual
two-component approach. We obtain the solutions in hypergeometric function
form.

Anahtar Kelimeler

Dirac equation, Scalar and vector potential energies, Generalized symmetric, Woods-Saxon potential energy

Kaynakça

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