On the solution of the schrödinger equation with position-dependent mass

SEZGİN M.

Universe, cilt.6, sa.3, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/universe6030038
  • Dergi Adı: Universe
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: Casimir operator, Decomposition, Lie group, Schrödinger equation
  • Trakya Üniversitesi Adresli: Evet

Özet

We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given.