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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Konu: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9335-6
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.944-954

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.