Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: The multi-band case

Pistol, Mats-Erik LU (2002) In Journal of the Physical Society of Japan 71(5). p.1325-1331
Abstract
We have found the equations that determine the self-adjoint extensions, and thus the boundary conditions, of the differential operator used in the multi-band k.p-theory, when the coefficients in the Kane-matrix are piecewise constant. Both the one-dimensional and the three-dimensional case have been investigated. A numerical calculation shows that the choice of boundary conditions affects the energy eigenvalues for a quantum well.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
boundary conditions, heterostructures, envelope function approximation
in
Journal of the Physical Society of Japan
volume
71
issue
5
pages
1325 - 1331
publisher
Physical Society of Japan
external identifiers
  • wos:000175659800023
  • scopus:0036302368
ISSN
1347-4073
DOI
10.1143/JPSJ.71.1325
language
English
LU publication?
yes
id
b0318273-30ac-4f9d-b055-ca58aa410cf6 (old id 337487)
date added to LUP
2016-04-01 12:27:55
date last changed
2025-10-14 10:45:23
@article{b0318273-30ac-4f9d-b055-ca58aa410cf6,
  abstract     = {{We have found the equations that determine the self-adjoint extensions, and thus the boundary conditions, of the differential operator used in the multi-band k.p-theory, when the coefficients in the Kane-matrix are piecewise constant. Both the one-dimensional and the three-dimensional case have been investigated. A numerical calculation shows that the choice of boundary conditions affects the energy eigenvalues for a quantum well.}},
  author       = {{Pistol, Mats-Erik}},
  issn         = {{1347-4073}},
  keywords     = {{boundary conditions; heterostructures; envelope function approximation}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{1325--1331}},
  publisher    = {{Physical Society of Japan}},
  series       = {{Journal of the Physical Society of Japan}},
  title        = {{Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures: The multi-band case}},
  url          = {{http://dx.doi.org/10.1143/JPSJ.71.1325}},
  doi          = {{10.1143/JPSJ.71.1325}},
  volume       = {{71}},
  year         = {{2002}},
}