Discrete transparent boundary conditions for Schrödinger type equations:
Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schrödinger- type equations. Our method supplies boundary conditions for the [theta]- family of implicit one-step discretizations of Schrödinger's equation in time. The u...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
|
| Series: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,17 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schrödinger- type equations. Our method supplies boundary conditions for the [theta]- family of implicit one-step discretizations of Schrödinger's equation in time. The use of Mikusiński's operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner." |
| Physical Description: | 20 S. graph. Darst. |
Staff View
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| 245 | 1 | 0 | |a Discrete transparent boundary conditions for Schrödinger type equations |c Frank Schmidt ; David Yevick |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 20 S. |b graph. Darst. | ||
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,17 | |
| 520 | 3 | |a Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schrödinger- type equations. Our method supplies boundary conditions for the [theta]- family of implicit one-step discretizations of Schrödinger's equation in time. The use of Mikusiński's operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Field theory (Physics) | |
| 650 | 4 | |a Schrödinger equation | |
| 700 | 1 | |a Yevick, David |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,17 |w (DE-604)BV004801715 |9 1996,17 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007263482 | |
Record in the Search Index
| _version_ | 1820882503434502144 |
|---|---|
| adam_text |
DISCRETE
TRANSPARENT
BOUNDARY
CONDITIONS
FOR
SCHRODINGER-TYPE
EQUATIONS
FRANK
SCHMIDT
DAVID
YEVICK
CONTENTS
1
INTRODUCTION
2
2
PRELIMINARY
CONSIDERATION
4
3
OPERATOR
FORMULATION
6
3.1
REFORMULATION
USING
THE
SHIFT-OPERATOR
TECHNIQUE
.
7
3.2
FINITE-DIFFERENCE
IMPLEMENTATION
.
8
3.3
FINITE-ELEMENT
IMPLEMENTATION
.
9
3.4
STABILITY
PROPERTIES
.
10
4
DISCRETE
SOLUTION
OF
THE
EXTERIOR
PROBLEM
11
4.1
DISCRETE
TREATMENT
OF
THE
SPACE
COORDINATE
.
12
4.2
IMPLEMENTATION
.
13
5
APPLICATION
TO
THE
FRESNEL
EQUATION
14 |
| any_adam_object | 1 |
| author | Schmidt, Frank 1959- Yevick, David |
| author_GND | (DE-588)1079145931 |
| author_facet | Schmidt, Frank 1959- Yevick, David |
| author_role | aut aut |
| author_sort | Schmidt, Frank 1959- |
| author_variant | f s fs d y dy |
| building | Verbundindex |
| bvnumber | BV010866499 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37020135 (DE-599)BVBBV010866499 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV010866499 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007263482 |
| oclc_num | 37020135 |
| open_access_boolean | |
| owner | DE-12 DE-703 DE-188 |
| owner_facet | DE-12 DE-703 DE-188 |
| physical | 20 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut Discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt ; David Yevick Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 20 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,17 Abstract: "We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schrödinger- type equations. Our method supplies boundary conditions for the [theta]- family of implicit one-step discretizations of Schrödinger's equation in time. The use of Mikusiński's operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner." Boundary value problems Field theory (Physics) Schrödinger equation Yevick, David Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,17 (DE-604)BV004801715 1996,17 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007263482&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, Frank 1959- Yevick, David Discrete transparent boundary conditions for Schrödinger type equations Boundary value problems Field theory (Physics) Schrödinger equation |
| title | Discrete transparent boundary conditions for Schrödinger type equations |
| title_auth | Discrete transparent boundary conditions for Schrödinger type equations |
| title_exact_search | Discrete transparent boundary conditions for Schrödinger type equations |
| title_full | Discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt ; David Yevick |
| title_fullStr | Discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt ; David Yevick |
| title_full_unstemmed | Discrete transparent boundary conditions for Schrödinger type equations Frank Schmidt ; David Yevick |
| title_short | Discrete transparent boundary conditions for Schrödinger type equations |
| title_sort | discrete transparent boundary conditions for schrodinger type equations |
| topic | Boundary value problems Field theory (Physics) Schrödinger equation |
| topic_facet | Boundary value problems Field theory (Physics) Schrödinger equation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007263482&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT schmidtfrank discretetransparentboundaryconditionsforschrodingertypeequations AT yevickdavid discretetransparentboundaryconditionsforschrodingertypeequations |