Localized states in arbitrarily shaped quantum wire: A variation-perturbation technique

TitleLocalized states in arbitrarily shaped quantum wire: A variation-perturbation technique
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2001
AuthorsBuonocore, F., Ninno D., and Iadonisi G.
JournalPhysica Status Solidi (B) Basic Research
Volume225
Pagination343-352
ISSN03701972
Abstract

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.

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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0035534355&doi=10.1002%2f1521-3951%28200106%29225%3a2%3c343%3a%3aAID-PSSB343%3e3.0.CO%3b2-V&partnerID=40&md5=3b4e5c35a62da2945f0fdfb900cf027b
DOI10.1002/1521-3951(200106)225:2<343::AID-PSSB343>3.0.CO;2-V