Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures
(2002) Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21)- 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. Numerical simulations of the energy eigenvalues in a quantum well has been performed, using different boundary conditions, illustrating the energy shift expected
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/611509
- author
- Pistol, Mats-Erik LU
- organization
- publishing date
- 2002
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- quantum well, differential operator, energy eigenvalues, numerical simulations, Kane matrix, multiband k·p theory, self adjoint extensions, semiconductor heterostructures, boundary conditions, function approximation
- host publication
- 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science
- pages
- 2 pages
- publisher
- Lund University
- conference name
- Proceedings of 7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science (NANO-7/ECOSS-21)
- conference location
- Malmö, Sweden
- conference dates
- 2002-06-24 - 2002-06-28
- external identifiers
-
- scopus:0036302368
- language
- English
- LU publication?
- yes
- id
- 770f6f96-bbb0-40cb-ba6c-ec6b9534daad (old id 611509)
- date added to LUP
- 2016-04-04 11:14:12
- date last changed
- 2022-02-28 19:35:51
@inproceedings{770f6f96-bbb0-40cb-ba6c-ec6b9534daad, 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. Numerical simulations of the energy eigenvalues in a quantum well has been performed, using different boundary conditions, illustrating the energy shift expected}}, author = {{Pistol, Mats-Erik}}, booktitle = {{7th International Conference on Nanometer-Scale Science and Technology and 21st European Conference on Surface Science}}, keywords = {{quantum well; differential operator; energy eigenvalues; numerical simulations; Kane matrix; multiband k·p theory; self adjoint extensions; semiconductor heterostructures; boundary conditions; function approximation}}, language = {{eng}}, publisher = {{Lund University}}, title = {{Boundary conditions in the envelope function approximation as applied to semiconductor heterostructures}}, year = {{2002}}, }