Solutions of Morse potential with position-dependent mass by Laplace transform
الموضوعات : Journal of Theoretical and Applied Physics
S. Miraboutalebi
1
(Department of Physics, Islamic Azad University)
الکلمات المفتاحية: Morse potential, Pekeris approximation, Local mass distribution, Point canonical transformation, Laplace transformation, Bound state,
ملخص المقالة :
AbstractIn the framework of the position-dependent mass quantum mechanics, the three dimensional Schrödinger equation is studied by applying the Laplace transforms combining with the point canonical transforms. For the potential analogues to Morse potential and via the Pekeris approximation, we introduce the general solutions appropriate for any kind of position dependent mass profile which obeys a key condition. For a specific position-dependent mass profile, the bound state solutions are obtained through an analytical form. The constant mass solutions are also relived.
