YOU ARE HERE: HOMEDEFORMED ENERGY LEVELS OF A PSEUDOHARMONIC POTENTIAL: NONRELATIVISTIC QUANTUM MECHANICS

DEFORMED ENERGY LEVELS OF A PSEUDOHARMONIC POTENTIAL: NONRELATIVISTIC QUANTUM MECHANICS

Pages 55-63

Abdelmadjid Maireche

Abstract

The paper described the exact solutions of Schrödinger equation for diatomic molecules with pseudoharmonic potential2rrrre eDrV, it was solved by applying the Boopp’s shift method to first order in the non-commutativity parameterand standard perturbation theory, the bound state energy (eigen values) found to be degenerate. It’s shown that the noncommutative Hamiltonian (NC) described automatically a particle with spin )2/1( interacted with an external magnetic field, including the usual Zeeman effect in commutative space. Furthermore, I observed the NC Hamiltonian can be described automatically the spin-orbit interaction, I justified my results by calculate the absolute incertitude.

PDF