Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials
Journal of Mathematical Chemistry, cilt.43, sa.1, ss.92-100, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 1
- Basım Tarihi: 2008
- Doi Numarası: 10.1007/s10910-006-9181-y
- Dergi Adı: Journal of Mathematical Chemistry
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.92-100
- Anahtar Kelimeler: Effective mass schrödinger equation, Hulthén potential, Morse potential, Pöschl-teller potential, Point canonical transformation, Position-dependent mass
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
We deal with the exact solutions of Schrödinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Pöschl-Teller, and Hulthén type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly. © 2006 Springer Science+Business Media, Inc.