On stationary Schrödinger-Poisson equations:
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| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin
Inst. für Angewandte Analysis und Stochastik
1993
|
| Schriftenreihe: | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint
66 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 42 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a On stationary Schrödinger-Poisson equations |c Günther Albinus, Hans-Christoph Kaiser and Joachim Rehberg |
| 264 | 1 | |a Berlin |b Inst. für Angewandte Analysis und Stochastik |c 1993 | |
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |v 66 | |
| 700 | 1 | |a Kaiser, Hans-Christoph |e Verfasser |4 aut | |
| 700 | 1 | |a Rehberg, Joachim |e Verfasser |4 aut | |
| 830 | 0 | |a Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |v 66 |w (DE-604)BV007518793 |9 66 | |
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Datensatz im Suchindex
| _version_ | 1805066950755221504 |
|---|---|
| adam_text |
C
ONTENTS
ON
STATIONARY
SCHRODINGER-POISSON
EQUATIONS
MODELLING
AN
ELECTRON
GAS
WITH
REDUCED
DIMENSION
(BY
H.-CHR.
KAISER
AND
J.
REHBERG)
1
1.
THE
SCHRODINGER-POISSON
EQUATION
1
2.
THE
SCHRODINGER
OPERATOR
4
2.1.
THE
DIRICHLET-PROBLEM
FOR
THE
LAPLACIAN
2.2.
SELF-ADJOINTNESS,
LOWER
BOUND
AND
SPECTRUM
3.
THE
RESOLVENT
OF
THE
SCHRODINGER
OPERATOR
6
3.1.
THE
RESOLVENT
OF
THE
LAPLACIAN
3.2.
SUMMABILITY-CLASS
OF
THE
OPERATORS
V(A
-
P)
-1
,
P
0,
V
YY
L
2
(FL)
3.3.
CALCULATIONS
WITH
RESOLVENTS
3.4.
Z
2
-BOUNDED
SETS
OF
POTENTIALS
3.5.
DEPENDENCE
ON
THE
COMPLEX
ARGUMENT
4.
FUNCTIONS
OF
THE
SCHRODINGER
OPERATOR
12
4.1.
FUNCTIONAL
CALCULUS
4.2.
THE
DISTRIBUTION
FUNCTION
F
4.3.
DIFFERENTIATION
WITH
RESPECT
TO
POTENTIALS
FROM
L
2
(Q)
5.
THE
FERMI
LEVEL
EO(V)
18
6.
THE
ELECTRON
DENSITY
N
=
N(V")
22
6.1.
BOUNDEDNESS
6.2.
POTENTIALITY
6.3.
FRECHET
DIFFERENTIABILITY
6.4.
BOUNDED
LIPSCHITZ-CONTINUITY
6.5.
MONOTONICITY
7.
EXISTENCE,
UNIQUENESS
AND
REGULARITY
28
8.
ITERATION
SCHEME
29
A
NOTE
ON
THE
DISCRETIZATION
OF
A
STATIONARY
SCHRODINGER-POISSON
SYSTEM
(BY
G.
ALBINUS)
31
1.
INTRODUCTION
31
2.
A
DISCRETE
STATIONARY
SCHRODINGER
-
POISSON
SYSTEM
32
3.
APPLICATION
OF
DUNFORD
'
S
INTEGRAL
CALCULUS
36
4.
THE
VARIATIONAL
FORMULATION
OF
THE
NONLINEAR
VECTOR
EQUATION
38
5.
A
REMARK
ON
THE
CHOICE
OF
M
39
REFERENCES
42 |
| any_adam_object | 1 |
| author | Albinus, Günter Kaiser, Hans-Christoph Rehberg, Joachim |
| author_facet | Albinus, Günter Kaiser, Hans-Christoph Rehberg, Joachim |
| author_role | aut aut aut |
| author_sort | Albinus, Günter |
| author_variant | g a ga h c k hck j r jr |
| building | Verbundindex |
| bvnumber | BV009253707 |
| classification_rvk | SI 304 |
| ctrlnum | (OCoLC)75382859 (DE-599)BVBBV009253707 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV009253707 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T03:26:29Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006158292 |
| oclc_num | 75382859 |
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| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 42 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Inst. für Angewandte Analysis und Stochastik |
| record_format | marc |
| series | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| series2 | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| spelling | Albinus, Günter Verfasser aut On stationary Schrödinger-Poisson equations Günther Albinus, Hans-Christoph Kaiser and Joachim Rehberg Berlin Inst. für Angewandte Analysis und Stochastik 1993 42 S. txt rdacontent n rdamedia nc rdacarrier Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 66 Kaiser, Hans-Christoph Verfasser aut Rehberg, Joachim Verfasser aut Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 66 (DE-604)BV007518793 66 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006158292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Albinus, Günter Kaiser, Hans-Christoph Rehberg, Joachim On stationary Schrödinger-Poisson equations Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| title | On stationary Schrödinger-Poisson equations |
| title_auth | On stationary Schrödinger-Poisson equations |
| title_exact_search | On stationary Schrödinger-Poisson equations |
| title_full | On stationary Schrödinger-Poisson equations Günther Albinus, Hans-Christoph Kaiser and Joachim Rehberg |
| title_fullStr | On stationary Schrödinger-Poisson equations Günther Albinus, Hans-Christoph Kaiser and Joachim Rehberg |
| title_full_unstemmed | On stationary Schrödinger-Poisson equations Günther Albinus, Hans-Christoph Kaiser and Joachim Rehberg |
| title_short | On stationary Schrödinger-Poisson equations |
| title_sort | on stationary schrodinger poisson equations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006158292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007518793 |
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