content_image/303310.jpg content_image/303311.jpg content_image/303313.jpg content_image/303312.jpg
dependent-mass and the interaction potential to take the forms m ( ⃗ r ) ≡ M ( ρ, ϕ, z ) = g ( ρ ) f ( ϕ ) k ( z ) and V ( ⃗ r ) ≡ V ( ρ, ϕ, z ), respectively. We have shown (see Mustafa [31] for more details on this issue) that the corresponding PDM-Schr¨ odinger equation [ H − E ] Ψ ( ρ, ϕ, z ) = 0 with 

<img src='content_image/303310.jpg'>

would imply 

<img src='content_image/303311.jpg'>

where 

To facilitate and ease separability, we have suggested that the interaction po- tential satisfies an obviously ”manifested-by-equation (3)” general identity of the form 

<img src='content_image/303313.jpg'>

Hereby, we may remind the reader that in [31 } we have used g ( ρ ) = 1 /ρ 2 along with f ( ϕ ) = 1 = k ( z ) as one of the options that secured separability of the problem at hand. 

<img src='content_image/303312.jpg'>

