Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states


Berkdemir C., BERKDEMİR A., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.43, sa.3, ss.944-954, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9335-6
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.944-954
  • Anahtar Kelimeler: supersymmetric quantum mechanics, Hamiltonian hierarchy method, Woods-Saxon potential, diatomic molecules, DIATOMIC-MOLECULES, SCHRODINGER-EQUATION, PERIODIC POTENTIALS, QUANTUM-MECHANICS, APPROXIMATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

An analytically solvable Woods-Saxon potential for l not equal 0 states is presented within the framework of Supersymmetric Quantum Mechanics formalism. The shape-invariance approach and Hamiltonian hierarchy method are included in calculations by means of a translation of parameters. The approximate energy spectrum of this potential is obtained for l not equal 0 states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrodinger equation.