Exact Solutions of the Morse-like Potential, Step-Up and Step-Down Operators via Laplace Transform Approach

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Arda A., Sever R.

COMMUNICATIONS IN THEORETICAL PHYSICS, cilt.58, sa.1, ss.27-30, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1088/0253-6102/58/1/05
  • Dergi Adı: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.27-30
  • Anahtar Kelimeler: exact solution, laplace transform, non-central potential, Schrodinger equation, KLEIN-GORDON EQUATION, SCHRODINGER-EQUATION, ALGEBRAIC APPROACH, LADDER-OPERATOR, BOUND-STATES, PSEUDOHARMONIC OSCILLATOR, HARMONIC-OSCILLATOR, HIDDEN SYMMETRY, QUANTUM SYSTEM, VECTOR
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We intend to realize the step-up and step-down operators of the potential V(x) = V(1)e(2 beta x) + V-2(e beta x). It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions and the eigenvalues of the potential by using the Laplace transform approach to study the Lie algebra satisfied the ladder operators of the potential under consideration. Our results are similar to the ones obtained for the Morse potential (beta ->-beta).