Analytical solution of two-body spinless Salpeter equation for Hellmann potential

Creative Commons License

Arda A.

INDIAN JOURNAL OF PHYSICS, cilt.91, sa.8, ss.903-907, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 8
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s12648-017-0988-0
  • Dergi Adı: INDIAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.903-907
  • Anahtar Kelimeler: Bethe-Salpeter equation, Spinless Salpeter equation, Hellmann potential, RELATIVISTIC COULOMB PROBLEM, BOUND-STATES, SEMIRELATIVISTIC HAMILTONIANS, DISCRETE SPECTRA, EIGENVALUES
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Approximate bound state solutions of the spinless Salpeter equation for the Hellmann potential are studied for heavy particles. By using functional analysis method, an analytical expression for the energy levels, and the corresponding eigenfunctions of the system are obtained in terms of the hypergeometric functions. The analytical results for the Yukawa and Coulomb potentials are also studied as special cases.