PT-Symmetric solutions of schrodinger equation with position-dependent mass via point canonical transformation


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TEZCAN C., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.47, sa.5, ss.1471-1478, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 5
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10773-007-9589-6
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1471-1478
  • Anahtar Kelimeler: position-dependent mass, point canonical transformation, effective mass Schrodinger equation, Generalized harmonic oscillator, Scarf potential, NON-HERMITIAN HAMILTONIANS, EXACTLY SOLVABLE POTENTIALS, PSEUDO-HERMITICITY, QUANTUM-MECHANICS, REAL, EIGENVALUES, GENERATION, SYSTEMS, STATES, SPACE
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

PT-symmetric solutions of Schrodinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the position-dependent mass. A general point canonical transformation is applied by using a free parameter. Three 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.