Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation

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Tezcan C., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.42, sa.3, ss.387-395, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10910-006-9109-6
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.387-395
  • Anahtar Kelimeler: position-dependent mass, point canonical transformation, effective mass Schrodinger equation, Rosen-Morse potential, Scarf potential, SUPERSYMMETRIC QUANTUM-MECHANICS, SOLVABLE POTENTIALS, SEMICONDUCTOR THEORY, SERIES SOLUTIONS, SYSTEMS, HETEROJUNCTIONS, ALGEBRAS, STATES
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.