1206.1666 (D. A. Kulikov et al.)

$\hbar$-expansion for the Schrödinger equation with a
position-dependent mass    [PDF]

D. A. Kulikov, V. M. Shapoval

A recursion technique of obtaining the asymptotical expansions for the bound-state energy eigenvalues of the radial Schr\"odinger equation with a position-dependent mass is presented. As an example of the application we calculate the energy eigenvalues for the Coulomb potential in the presence of position-dependent mass and we derive the inequalities regulating the shifts of the energy levels from their constant-mass positions.

View original: http://arxiv.org/abs/1206.1666