Exact solutions of the Schrödinger equation with position dependent mass for the solvable potentials

ARICAK F., SEZGİN M.

1st International Conference on Analysis and Applied Mathematics, ICAAM 2012, Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.148-151, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747661
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.148-151
  • Anahtar Kelimeler: Lie Group and Algebra, Mass, Schrödinger Equation, Solvable Potential
  • Trakya Üniversitesi Adresli: Evet

Özet

In this work the infinitesimal operators of the regular representations of the group SL(R, 2) are considered. According to these infinitesimal operators the Casimir operator is expressed. The Hamiltonian H is related to Casimir operator C of the group. The energy eigenvalues and the corresponding eigenfunctions are given for the solvable potentials. © 2012 American Institute of Physics.