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1.
Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge
Title:
Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge
Author:
HansChristoph Kaiser; Joachim Rehberg
HansChristoph Kaiser; Joachim Rehberg
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Description:
We investigate optimal elliptic regularity of anisotropic divgrad operators in three dimensions at the crossing of a material interface and an edge of the spatial domain on the Neumann boundary part within the scale of Sobolev spaces.
We investigate optimal elliptic regularity of anisotropic divgrad operators in three dimensions at the crossing of a material interface and an edge of the spatial domain on the Neumann boundary part within the scale of Sobolev spaces.
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Publisher:
Berlin : WIAS ; Hannover : Technische Informationsbibliothek u. Universitätsbibliothek
Year of Publication:
2010
Subjects:
31.00
31.00
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URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2012/wias_preprints_1511.pdf
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2012/wias_preprints_1511.pdf
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2.
Analyticity for some operator functions from statistical quantum mechanics
Title:
Analyticity for some operator functions from statistical quantum mechanics
Author:
Kurt Hoke; HansChristoph Kaiser; Joachim Rehberg
Kurt Hoke; HansChristoph Kaiser; Joachim Rehberg
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For rather general thermodynamic equilibrium distribution functions the density of a statistical ensemble of quantum mechanical particles depends analytically on the potential in the Schrödinger operator describing the quantum system. A key to the proof is that the resolvent to a power less than one of an elliptic operator with nonsmooth coeffi...
For rather general thermodynamic equilibrium distribution functions the density of a statistical ensemble of quantum mechanical particles depends analytically on the potential in the Schrödinger operator describing the quantum system. A key to the proof is that the resolvent to a power less than one of an elliptic operator with nonsmooth coefficients, and mixed Dirichlet/Neumann boundary conditions on a bounded up to threedimensional Lipschitz domain factorizes over the space of essentially bounded functions.
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Publisher:
Berlin : WIAS ; Göttingen : Niedersächsische Staats und Universitätsbibliothek ; Hannover : Technische Informationsbibliothek u. Universitätsbibliothek
Year of Publication:
2008
Subjects:
31.00
31.00
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URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1373.pdf
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1373.pdf
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3.
Eigensolutions of the WignerEisenbud problem for a cylindrical nanowire within finite volume method
Title:
Eigensolutions of the WignerEisenbud problem for a cylindrical nanowire within finite volume method
Author:
Paul N. Racec; Stanley Schade; HansChristoph Kaiser
Paul N. Racec; Stanley Schade; HansChristoph Kaiser
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Description:
We present a finite volume method for computing a representative range of eigenvalues and eigenvectors of the Schrödinger operator on a three dimensional cylindrically symmetric bounded domain with mixed boundary conditions. More specifically, we deal with a semiconductor nanowire which consists of a dominant host material and contains heterostr...
We present a finite volume method for computing a representative range of eigenvalues and eigenvectors of the Schrödinger operator on a three dimensional cylindrically symmetric bounded domain with mixed boundary conditions. More specifically, we deal with a semiconductor nanowire which consists of a dominant host material and contains heterostructure features such as doublebarriers or quantum dots. The three dimensional Schrödinger operator is reduced to a family of two dimensional Schrödinger operators distinguished by a centrifugal potential. Ultimately, we numerically treat them by means of a finite volume method. We consider a uniform, boundary conforming Delaunay mesh, which additionally conforms to the material interfaces. The 1/r singularity is eliminated by approximating r at the vertexes of the Voronoi boxes. We study how the anisotropy of the effective mass tensor acts on the uniform approximation of the first K eigenvalues and eigenvectors and their sequential arrangement. There exists an optimal uniform Delaunay discretization with matching anisotropy. This anisotropic discretization yields best accuracy also in the presence of a mildly varying scattering potential, shown exemplarily for a nanowire resonant tunneling diode. For potentials with 1/r singularity one retrieves the theoretically established first order convergence, while the second order convergence is recovered only on uniform grids with an anisotropy correction.
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Publisher:
Berlin : WIAS ; Hannover : Technische Informationsbibliothek u. Universitätsbibliothek ; Göttingen : Niedersächsische Staats und Universitätsbibliothek
Year of Publication:
2012
Subjects:
31.00
31.00
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DDC:
510 Mathematics
(computed)
URL:
http://edok01.tib.unihannover.de/edoks/e01fn12/721271170.pdf
http://edok01.tib.unihannover.de/edoks/e01fn12/721271170.pdf
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4.
Direct computation of elliptic singularities across anisotropic, multimaterial edges
Title:
Direct computation of elliptic singularities across anisotropic, multimaterial edges
Author:
Robert HallerDintelmann; HansChristoph Kaiser; Joachim Rehberg
Robert HallerDintelmann; HansChristoph Kaiser; Joachim Rehberg
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We characterise the singularities of elliptic divgrad operators at points or edges where several materials meet on a Dirichlet or Neumann part of the boundary of a two or threedimensional domain. Special emphasis is put on anisotropic coefficient matrices. The singularities can be computed as roots of a characteristic transcendental equation....
We characterise the singularities of elliptic divgrad operators at points or edges where several materials meet on a Dirichlet or Neumann part of the boundary of a two or threedimensional domain. Special emphasis is put on anisotropic coefficient matrices. The singularities can be computed as roots of a characteristic transcendental equation. We establish uniform bounds for the singular values for several classes of three and fourmaterial edges. These bounds can be used to prove optimal regularity results for elliptic divgrad operators on threedimensional, heterogeneous, polyhedral domains with mixed boundary conditions. We demonstrate this for the benchmark Lshape problem.
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Publisher:
Berlin : WIAS ; Göttingen : Niedersächsische Staats und Universitätsbibliothek ; Hannover : Technische Informationsbibliothek u. Universitätsbibliothek
Year of Publication:
2009
Subjects:
31.00
31.00
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URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1439.pdf
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1439.pdf
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5.
Classical Solutions of Quasilinear Parabolic Systems on Two Dimensional Domains
Open Access
Title:
Classical Solutions of Quasilinear Parabolic Systems on Two Dimensional Domains
Author:
HansChristoph Kaiser
;
Hagen Neidhardt
;
Joachim Rehberg
HansChristoph Kaiser
;
Hagen Neidhardt
;
Joachim Rehberg
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Using a classical theorem of Sobolevskii on equations of parabolic type in a Banach space and recently obtained results on elliptic operators with discontinuous coefficients including mixed boundary conditions we prove that quasilinear parabolic systems in diagonal form admit a local, classical solution in the space of pintegrable functions, f...
Using a classical theorem of Sobolevskii on equations of parabolic type in a Banach space and recently obtained results on elliptic operators with discontinuous coefficients including mixed boundary conditions we prove that quasilinear parabolic systems in diagonal form admit a local, classical solution in the space of pintegrable functions, for some p > 1, over a bounded two dimensional space domain. As applications we have in mind systems of reaction diffusion equations, e.g. van Roosbroeck's system. The treatment of such equations in a space of integrable functions enables us to define the normal component of the flow across any part of the Dirichlet boundary by Gauss' theorem.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20090417
Source:
http://www.ma.utexas.edu/mp_arc/e/02399.ps
http://www.ma.utexas.edu/mp_arc/e/02399.ps
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Document Type:
text
Language:
en
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.2272
http://www.ma.utexas.edu/mp_arc/e/02399.ps
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.2272
http://www.ma.utexas.edu/mp_arc/e/02399.ps
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6.
Modeling and Simulation of Strained Quantum Wells in Semiconductor Lasers
Open Access
Title:
Modeling and Simulation of Strained Quantum Wells in Semiconductor Lasers
Author:
Uwe Bandelow, HansChristoph Kaiser
;
Thomas Koprucki
;
Joachim Rehberg
Uwe Bandelow, HansChristoph Kaiser
;
Thomas Koprucki
;
Joachim Rehberg
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The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20120919
Source:
http://www.wiasberlin.de/publications/preprints/582/wias_preprints_582.pdf
http://www.wiasberlin.de/publications/preprints/582/wias_preprints_582.pdf
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text
Language:
en
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Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9240
http://www.wiasberlin.de/publications/preprints/582/wias_preprints_582.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9240
http://www.wiasberlin.de/publications/preprints/582/wias_preprints_582.pdf
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7.
A quantum transmitting SchrödingerPoisson system
Open Access
Title:
A quantum transmitting SchrödingerPoisson system
Author:
Michael Baro
;
Hanschristoph Kaiser
;
Hagen Neidhardt
;
Joachim Rehberg
Michael Baro
;
Hanschristoph Kaiser
;
Hagen Neidhardt
;
Joachim Rehberg
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Description:
Key words and phrases. Quantum phenomena, current carrying state, inflow boundary condition, dissipative operators, open quantum systems, carrier and current densities, density matrices, quantum transmitting boundary method. Edited by
Key words and phrases. Quantum phenomena, current carrying state, inflow boundary condition, dissipative operators, open quantum systems, carrier and current densities, density matrices, quantum transmitting boundary method. Edited by
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20100225
Source:
http://www.ma.utexas.edu/mp_arc/c/03/0368.pdf
http://www.ma.utexas.edu/mp_arc/c/03/0368.pdf
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Document Type:
text
Language:
en
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.3823
http://www.ma.utexas.edu/mp_arc/c/03/0368.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.3823
http://www.ma.utexas.edu/mp_arc/c/03/0368.pdf
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8.
On Stationary SchrödingerPoisson Equations Modelling An Electron Gas With Reduced Dimension
Open Access
Title:
On Stationary SchrödingerPoisson Equations Modelling An Electron Gas With Reduced Dimension
Author:
HansChristoph Kaiser
;
Joachim Rehberg
HansChristoph Kaiser
;
Joachim Rehberg
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Description:
. We regard the SchrodingerPoisson system arising from the modelling of an electron gas with reduced dimension in a bounded up to three dimensional domain and establish the method of steepest descent. The electrostatic potentials of the iteration scheme will converge uniformly on the spatial domain. To get this result we investigate the Schr...
. We regard the SchrodingerPoisson system arising from the modelling of an electron gas with reduced dimension in a bounded up to three dimensional domain and establish the method of steepest descent. The electrostatic potentials of the iteration scheme will converge uniformly on the spatial domain. To get this result we investigate the Schrodinger operator, the Fermi level and the quantum mechanical electron density operator for square integrable electrostatic potentials. On bounded sets of potentials the Fermi level is continuous and bounded, and the electron density operator is monotone and Lipschitz continuous.  As a tool we develop a RieszDunford functional calculus for semibounded selfadjoint operators using paths of integration which enclose a real half axis. Institut fur Angewandte Analysis und Stochastik Mohrenstraße 39 D10117 Berlin Germany Fax: + 49 30 2004975 Email: preprint@iaasberlin.d400.de 1991 Mathematics Subject Classification. 35J05/10/20/60/65, 35P15.
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Contributors:
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Year of Publication:
20090412
Source:
http://www.wiasberlin.de/WIAS_publ_preprints_nr66.PS
http://www.wiasberlin.de/WIAS_publ_preprints_nr66.PS
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Document Type:
text
Language:
en
Subjects:
2
HANS

CHRISTOPH
KAISER
AND JOACHIM REHBERG On Stationary SchrodingerPoisson Equations Modelling
2
HANS

CHRISTOPH
KAISER
AND JOACHIM REHBERG On Stationary SchrodingerPoisson Equations Modelling
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.3254
http://www.wiasberlin.de/WIAS_publ_preprints_nr66.PS
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.3254
http://www.wiasberlin.de/WIAS_publ_preprints_nr66.PS
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9.
Modeling and Simulation of Strained Quantum Wells in Semiconductor Lasers
Open Access
Title:
Modeling and Simulation of Strained Quantum Wells in Semiconductor Lasers
Author:
Uwe Bandelow
;
HansChristoph Kaiser
;
Thomas Koprucki
;
Joachim Rehberg
Uwe Bandelow
;
HansChristoph Kaiser
;
Thomas Koprucki
;
Joachim Rehberg
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Description:
A model allowing for efficiently obtaining band structure information on semiconductor Quantum Well structures will be demonstrated which is based on matrixvalued kpSchrödinger operators. Effects such as confinement, band mixing, spinorbit interaction and strain can be treated consistently. The impact of prominent Coulomb effects can be calcu...
A model allowing for efficiently obtaining band structure information on semiconductor Quantum Well structures will be demonstrated which is based on matrixvalued kpSchrödinger operators. Effects such as confinement, band mixing, spinorbit interaction and strain can be treated consistently. The impact of prominent Coulomb effects can be calculated by including the Hartree interaction via the Poisson equation and the bandgap renormalization via exchangecorrelation potentials, resulting in generalized (matrixvalued) SchrödingerPoisson systems. Band structure information enters via densities and the optical response function into comprehensive simulations of Multi Quantum Well lasers. These device simulations yield valuable information on device characteristics, including effects of carrier transport, waveguiding and heating and can be used for optimization.
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Year of Publication:
20090417
Source:
http://www.wiasberlin.de/publications/preprints/582/document.ps
http://www.wiasberlin.de/publications/preprints/582/document.ps
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Document Type:
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Language:
en
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.5951
http://www.wiasberlin.de/publications/preprints/582/document.ps
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.5951
http://www.wiasberlin.de/publications/preprints/582/document.ps
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10.
About A OneDimensional Stationary SchrödingerPoisson System With KohnSham Potential
Open Access
Title:
About A OneDimensional Stationary SchrödingerPoisson System With KohnSham Potential
Author:
HansChristoph Kaiser
;
Joachim Rehberg
HansChristoph Kaiser
;
Joachim Rehberg
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Description:
The stationary SchrödingerPoisson system with a selfconsistent effective KohnSham potential is a system of PDEs for the electrostatic potential and the envelopes of wave functions defining the quantum mechanical carrier densities in a semiconductor nanostructure. We regard both Poisson's and Schrödinger's equation with mixed boundary conditio...
The stationary SchrödingerPoisson system with a selfconsistent effective KohnSham potential is a system of PDEs for the electrostatic potential and the envelopes of wave functions defining the quantum mechanical carrier densities in a semiconductor nanostructure. We regard both Poisson's and Schrödinger's equation with mixed boundary conditions and discontinuous coefficients. Without an exchange correlation potential the SchrödingerPoisson system is a nonlinear Poisson equation in the dual of a Sobolev space which is determined by the boundary conditions imposed on the electrostatic potential. The nonlinear Poisson operator involved is strongly monotone and boundedly Lipschitz continuous, hence the operator equation has a unique solution. The proof rests upon the following property: the quantum mechanical carrier density operator depending on the potential of the defining Schrödinger operator is antimonotone and boundedly Lipschitz continuous. The solution of the SchrödingerPoisson system.
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Year of Publication:
20110121
Source:
http://www.wiasberlin.de/WIAS_publ_preprints_nr368.PS
http://www.wiasberlin.de/WIAS_publ_preprints_nr368.PS
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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.3560
http://www.wiasberlin.de/WIAS_publ_preprints_nr368.PS
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.3560
http://www.wiasberlin.de/WIAS_publ_preprints_nr368.PS
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(1) finite element method
(1) geotektonische hebungen geologie
(1) hep ex
(1) hydrothermale lagerstätten
(1) hydrothermale prozesse petrographie
(1) info eu repo classification ddc 540
(1) interventional cardiology
(1) key words
(1) kp schrödinger operators
(1) lagerstättenverteilung metallogenese lagerstätten
(1) left bundle branch block
(1) lipschitz homeomorphism invariant sets measure...
(1) mat
(1) mathematics analysis of pdes
(1) medical and health sciences 11
(1) medizinische fakultät
(1) mixed boundary problems
(1) nanoelectronics
(1) nanowire
(1) p regularity
(1) physics ddc 500
(1) physik
(1) quantum mechanical particle density in many...
(1) quantum well semiconductor lasers
(1) r matrixformalism
(1) rhodopen gebirge gebirge des balkans
(1) schr¨odinger operator
(1) schrödinger operator
(1) schrödinger poission systems
(1) simulation of optoelectronic devices
(1) statistical ensemble of quantum systems
(1) südbulgarien
(1) transmissionat a material interface
(1) transmissionat material interfaces
(1) w1
(1) wigne eisenbud problem
Subject:
Dewey Decimal Classification (DDC)
(60) Physics [53*]
(8) Science [50*]
(8) Medicine & health [61*]
(5) Astronomy [52*]
(3) Library & information sciences [02*]
(2) Psychology [15*]
(2) Public administration & military science [35*]
(2) Mathematics [51*]
(2) Chemistry [54*]
(1) Life sciences; biology [57*]
Dewey Decimal Classification (DDC):
Year of Publication
(123) 2011
(88) 2012
(24) 2010
(14) 2009
(8) 2005
(6) 2007
(5) 2008
(2) 1990
(2) 2004
(2) 2006
(2) 2013
(2) 2014
(2) 2015
(1) 1992
(1) 2000
(1) 2003
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(147) CERN (Switzerland)
(69) Joint Inst. for Nuclear Research: JINR Document...
(13) CiteSeerX
(8) LeibnizOpen
(6) HighWire Press
(5) Göttingen Univ.: GOEDOC
(5) Bielefeld Univ.: Publications
(5) Basel Univ.: edoc
(4) Aachen RWTH: Publications
(3) Zurich Univ.: ZORA
(2) Munich LMU: Open Access
(2) Bochum Univ. (RUB): Campus Research Bibliography
(2) Manchester Univ.: eScholar Services
(1) ArXiv.org
(1) Belief Project (EU)
(1) DataCite Metadata Store
(1) Zurich ETH: ECollection
(1) Joint Research Centre (JRC): Publications
(1) Heinz MaierLeibnitz Zentrum (MLZ): iMPULSE
(1) Monash Univ.: Research Repository
(1) Munich LMU: Digital theses
(1) RERO DOC Digital Library
(1) Michigan Univ.: Deep Blue
(1) Bern Univ.: BORIS
(1) Salento Univ.: ESE  Salento Univ. Publishing
Content Provider:
Language
(192) English
(86) Unknown
(5) German
Language:
Document Type
(234) Unknown
(23) Text
(16) Article, Journals
(7) Books
(2) Reports, Papers, Lectures
(1) Theses
Document Type:
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(254) Unknown
(29) Open Access
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