Our procedure depends on determining the classes of linearly dependent mass vectors.
Fig. 1b demonstrates an example of the energy spectrum for the considered dependent mass profile.
This leads to a time varying model with time dependent mass, stiffness and damping matrices.
In the recent years, investigations on Schrödinger equation with position dependent mass, have been attached many attentions [1, 2, 3].
Solutions of the Schrödinger equation with position dependent mass for the Morse potential are investigated by applying different methods in [46, 47, 48, 49, 50, 51, 52, 53].
The underlying physics behind this investigation is the fact that Schrödinger equation with position dependent mass tensor and potentials has a covariant form which follows the coordinate transformation.
The time variation of the return mass flux is computed from a model based on a time dependent mass balance at the membrane.
The footprints of position dependent mass can be seen in the researches concerned to semiconductors [5, 6, 7, 8], quantum wells and quantum dots [9, 10, 11, 12], quantum liquids [13], and impurities in crystals [14].
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.
