Energy Spectrum for Scarf-Grosche Potential

Özfidan A., DURMUŞ A.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Türkiye, 4 - 07 Eylül 2024, cilt.503 PROMS, ss.525-531, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 503 PROMS
  • Doi Numarası: 10.1007/978-3-031-93279-3_29
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.525-531
  • Anahtar Kelimeler: Asymptotic iteration method, Hypergeometric function, Jacobi polynomial
  • Erciyes Üniversitesi Adresli: Evet

Özet

The physical system with the Scarf-Grosche potential is analyzed in the non-relativistic theory. We present exact analytical solutions of the Schrödinger equation for the relevant potential using the functional analysis approach and the asymptotic iteration method. We obtain energy eigenvalues and the corresponding eigenfunctions for the relevant potential in spherical coordinates. The radial wavefunctions are represented in terms of the hypergeometric function and Jacobi polynomial.