|Title||Localized states in arbitrarily shaped quantum wire: A variation-perturbation technique|
|Publication Type||Articolo su Rivista peer-reviewed|
|Year of Publication||2001|
|Authors||Buonocore, F., Ninno D., and Iadonisi G.|
|Journal||Physica Status Solidi (B) Basic Research|
In this paper we present a variational technique for calculating the energy levels in a confined system with a complex shape and finite boundary conditions. The general method is applied to the case of a deformed cylindrical quantum wire and it is shown that in this case the single particle Schrödinger equation can be reduced to a set of coupled one-dimensional equations. These equations, containing an effective potential depending on the wire geometry and boundary conditions, can be solved by means of a perturbation expansion. It is shown that the calculated perturbation corrections become important only when a sharp deformation is considered.
cited By 7