In this work we investigate the solutions of the Schrödinger equation of position-dependent mass oscillators by employing the algebraic method of ladder operators and a point canonical transformation. The results are illustrated for a system where m(x) ∝ x2. From the wave functions, we calculate the Fisher information and Shannon entropy in the position and momentum for a particle in the ground state of this system.
Keywords:
Fisher information; Shannon entropy; position-dependent mass; point canonical transformation
