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Analytical solution of the Klein Gordon equation with a multi-parameter q-deformed Woods-Saxon type potential

  • B. C. LütfüoğluEmail author
  • A. N. Ikot
  • E. O. Chukwocha
  • F. E. Bazuaye
Regular Article

Abstract.

In this manuscript, we present an analytical solution of the Klein-Gordon equation with the multi-parameter q-deformed Woods-Saxon type potential energy under the spin symmetric limit in \((1+1)\) dimension. In the scattering case, we obtain the reflection and transmission probabilities and prove the conservation of the total probability. Moreover, we analyze the correlation between the potential parameters with the reflection and transmission probabilities. In the bound state case, we use the continuity conditions and derive a quantization scheme. To confirm our results numerically, in both cases we randomly assign values to the potential parameters and find numerical results by using the Newton Raphson method.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsAkdeniz UniversityAntalyaTurkey
  2. 2.Department of Physics, Faculty of ScienceUniversity of Hradec KrálovéHradec KrálovéCzech Republic
  3. 3.Theoretical Physics Group, Department of PhysicsUniversity of Port HarcourtChoba, Port HarcourtNigeria
  4. 4.Department of MathematicsUniversity of Port HarcourtChoba, Port HarcourtNigeria

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