Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential

Ikot A. N., Okorie U. S., Sever R., Rampho G. J.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.134, sa.8, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134 Sayı: 8
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1140/epjp/i2019-12783-x
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Within the framework of non-relativistic quantum mechanics via the Nikiforov-Uvarov (NU) method, we obtained the energy eigenvalues and the corresponding normalized eigenfunctions of a newly proposed screened Kratzer potential for lithium hydride (LiH) and hydrogen chloride (HCl) diatomic molecules. With the help of the Hellman-Feynman theorem, the expressions for the expectation values of the square of inverse of position, r(-2), inverse of position, r(-1), kinetic energy, T, and square of momentum, p(2), and their respective numerical values for the selected diatomic molecules are presented. The vibrational partition function and other thermodynamic functions are also obtained in closed form for the diatomic molecules, using the energy eigenvalues. The results obtained clearly agree with the previously obtained results in the literature.