Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential

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Ikhdair S., Sever R.

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, cilt.806, ss.155-158, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 806
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.theochem.2006.11.019
  • Dergi Adı: JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.155-158
  • Anahtar Kelimeler: pseudoharmonic potential, anharmonic oscillator potential, Schrodinger equation, diatomic molecules, eigenvalues and eigenfunction, bound states, PATH-INTEGRAL SOLUTION
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential. (c) 2006 Elsevier B.V. All rights reserved.