Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials

Taskin F., Boztosun I., BAYRAK O.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.47, sa.6, ss.1612-1617, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 6
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10773-007-9602-0
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1612-1617
  • Anahtar Kelimeler: asymptotic iteration method, Klein-Gordon equation, equal vector and scalar potentials, eigenvalues and eigenfunctions, ASYMPTOTIC ITERATION METHOD, BOUND-STATES, DIRAC-EQUATION, EIGENVALUE PROBLEMS, SCHRODINGER-EQUATION, OSCILLATOR SCALAR
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We obtain the exact analytical solution of the Klein-Gordon equation for the exponential vector and scalar potentials by using the asymptotic iteration method. For the scalar potential greater than the vector potential case, the exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunction solutions are obtained in terms of the confluent hypergeometric functions.