Bound state solutions of the Klein-Gordon equation with energy-dependent potentials

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LÜTFÜOĞLU B. C., Ikot A. N., Karakoc M., Osobonye G. T., Ngiangia A. T., Bayrak O.

MODERN PHYSICS LETTERS A, cilt.36, sa.4, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217732321500164
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Klein&#8211, Gordon equation, bound state solution, position-energy dependent mass, energy dependent Coulomb-like potential energy, asymptotic iteration method, EFFECTIVE-MASS, STATIONARY STATES, UNEQUAL SCALAR, WAVE-EQUATION, EQUAL SCALAR, VECTOR, HULTHEN, PSEUDOSPIN, SCATTERING
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the exact bound state solution of the Klein-Gordon equation for an energy-dependent Coulomb-like vector plus scalar potential energies. To the best of our knowledge, this problem is examined in literature with a constant and position dependent mass functions. As a novelty, we assume a mass-function that depends on energy and position and revisit the problem with the following cases: First, we examine the case where the mixed vector and scalar potential energy possess equal magnitude and equal sign as well as an opposite sign. Then, we study pure scalar and pure vector cases. In each case, we derive an analytic expression of the energy spectrum by employing the asymptotic iteration method. We obtain a nontrivial relation among the tuning parameters which lead the examined problem to a constant mass one. Finally, we calculate the energy spectrum by the Secant method and show that the corresponding unnormalized wave functions satisfy the boundary conditions. We conclude the paper with a comparison of the calculated energy spectra versus tuning parameters.