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

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Luetfueoglu B. C., Ikot A. N., Chukwocha E. O., Bazuaye F. E.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.133, sa.12, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 133 Sayı: 12
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1140/epjp/i2018-12299-y
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Evet

Özet

.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.