Mapping Properties of the Wave Operators in Scattering Theory View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1992

AUTHORS

A. Jensen

ABSTRACT

We consider the (modified) wave operators for two-body Schrödinger operators with smooth long range potentials. The wave operators and the adjoint wave operators, both localized in energy, are shown to map a weighted L2-space into a slightly larger weighted L2-space. The scattering operator, localized in energy, is shown to be bounded on all the weighted L2-spaces. More... »

PAGES

103-110

Book

TITLE

Approximation by Solutions of Partial Differential Equations

ISBN

978-94-010-5074-6
978-94-011-2436-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-011-2436-2_11

DOI

http://dx.doi.org/10.1007/978-94-011-2436-2_11

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1051231444


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg \u00d8, Denmark", 
          "id": "http://www.grid.ac/institutes/grid.5117.2", 
          "name": [
            "Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg \u00d8, Denmark"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Jensen", 
        "givenName": "A.", 
        "id": "sg:person.015240561701.11", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015240561701.11"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "1992", 
    "datePublishedReg": "1992-01-01", 
    "description": "We consider the (modified) wave operators for two-body Schr\u00f6dinger operators with smooth long range potentials. The wave operators and the adjoint wave operators, both localized in energy, are shown to map a weighted L2-space into a slightly larger weighted L2-space. The scattering operator, localized in energy, is shown to be bounded on all the weighted L2-spaces.", 
    "editor": [
      {
        "familyName": "Fuglede", 
        "givenName": "B.", 
        "type": "Person"
      }, 
      {
        "familyName": "Goldstein", 
        "givenName": "M.", 
        "type": "Person"
      }, 
      {
        "familyName": "Haussmann", 
        "givenName": "W.", 
        "type": "Person"
      }, 
      {
        "familyName": "Hayman", 
        "givenName": "W. K.", 
        "type": "Person"
      }, 
      {
        "familyName": "Rogge", 
        "givenName": "L.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-94-011-2436-2_11", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-94-010-5074-6", 
        "978-94-011-2436-2"
      ], 
      "name": "Approximation by Solutions of Partial Differential Equations", 
      "type": "Book"
    }, 
    "keywords": [
      "wave operators", 
      "two-body Schr\u00f6dinger operators", 
      "long-range potential", 
      "Schr\u00f6dinger operators", 
      "scattering theory", 
      "mapping properties", 
      "range potential", 
      "operators", 
      "theory", 
      "energy", 
      "properties", 
      "potential"
    ], 
    "name": "Mapping Properties of the Wave Operators in Scattering Theory", 
    "pagination": "103-110", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1051231444"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-94-011-2436-2_11"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-94-011-2436-2_11", 
      "https://app.dimensions.ai/details/publication/pub.1051231444"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-05-20T07:42", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/chapter/chapter_142.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-94-011-2436-2_11"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-94-011-2436-2_11'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-94-011-2436-2_11'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-94-011-2436-2_11'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-94-011-2436-2_11'


 

This table displays all metadata directly associated to this object as RDF triples.

92 TRIPLES      23 PREDICATES      38 URIs      31 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-94-011-2436-2_11 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N6223b2b573794a128dc6d71b7bd63c53
4 schema:datePublished 1992
5 schema:datePublishedReg 1992-01-01
6 schema:description We consider the (modified) wave operators for two-body Schrödinger operators with smooth long range potentials. The wave operators and the adjoint wave operators, both localized in energy, are shown to map a weighted L2-space into a slightly larger weighted L2-space. The scattering operator, localized in energy, is shown to be bounded on all the weighted L2-spaces.
7 schema:editor Nf485dfcc06d94beaae6b5873fad3eec3
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N8527240a204946f992a818c84f4152a6
12 schema:keywords Schrödinger operators
13 energy
14 long-range potential
15 mapping properties
16 operators
17 potential
18 properties
19 range potential
20 scattering theory
21 theory
22 two-body Schrödinger operators
23 wave operators
24 schema:name Mapping Properties of the Wave Operators in Scattering Theory
25 schema:pagination 103-110
26 schema:productId N35f4dbb22a924ab795ce49c3c148d9a6
27 N54842159ff9c4ad3b30dbc97b9d6d71f
28 schema:publisher N44a2f4af9b444f458847e71158906550
29 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051231444
30 https://doi.org/10.1007/978-94-011-2436-2_11
31 schema:sdDatePublished 2022-05-20T07:42
32 schema:sdLicense https://scigraph.springernature.com/explorer/license/
33 schema:sdPublisher N74c7d5eed77448eda881286c4ed1f8fc
34 schema:url https://doi.org/10.1007/978-94-011-2436-2_11
35 sgo:license sg:explorer/license/
36 sgo:sdDataset chapters
37 rdf:type schema:Chapter
38 N12102950074b49c780105c91a746ab56 rdf:first Nd533ff07f9524fa89707e8086c974b6b
39 rdf:rest Naf2aae95ab1d4bbe8e8bdab2892eb96d
40 N21090bd1c7eb444180f22ae1c603df1e rdf:first Nb07af35cb352405d9784fa38b34a29b7
41 rdf:rest rdf:nil
42 N35f4dbb22a924ab795ce49c3c148d9a6 schema:name dimensions_id
43 schema:value pub.1051231444
44 rdf:type schema:PropertyValue
45 N44a2f4af9b444f458847e71158906550 schema:name Springer Nature
46 rdf:type schema:Organisation
47 N54842159ff9c4ad3b30dbc97b9d6d71f schema:name doi
48 schema:value 10.1007/978-94-011-2436-2_11
49 rdf:type schema:PropertyValue
50 N6223b2b573794a128dc6d71b7bd63c53 rdf:first sg:person.015240561701.11
51 rdf:rest rdf:nil
52 N74c7d5eed77448eda881286c4ed1f8fc schema:name Springer Nature - SN SciGraph project
53 rdf:type schema:Organization
54 N8527240a204946f992a818c84f4152a6 schema:isbn 978-94-010-5074-6
55 978-94-011-2436-2
56 schema:name Approximation by Solutions of Partial Differential Equations
57 rdf:type schema:Book
58 Na41e190949a94f678b891a999d629c78 rdf:first Nc69ab220bbbf48a29a806b1fa5870608
59 rdf:rest N12102950074b49c780105c91a746ab56
60 Nab677f76209b422d99acda3f689e8f14 schema:familyName Hayman
61 schema:givenName W. K.
62 rdf:type schema:Person
63 Naf2aae95ab1d4bbe8e8bdab2892eb96d rdf:first Nab677f76209b422d99acda3f689e8f14
64 rdf:rest N21090bd1c7eb444180f22ae1c603df1e
65 Nb07af35cb352405d9784fa38b34a29b7 schema:familyName Rogge
66 schema:givenName L.
67 rdf:type schema:Person
68 Nc4955c29eafe4f71a0840da6a567ca63 schema:familyName Fuglede
69 schema:givenName B.
70 rdf:type schema:Person
71 Nc69ab220bbbf48a29a806b1fa5870608 schema:familyName Goldstein
72 schema:givenName M.
73 rdf:type schema:Person
74 Nd533ff07f9524fa89707e8086c974b6b schema:familyName Haussmann
75 schema:givenName W.
76 rdf:type schema:Person
77 Nf485dfcc06d94beaae6b5873fad3eec3 rdf:first Nc4955c29eafe4f71a0840da6a567ca63
78 rdf:rest Na41e190949a94f678b891a999d629c78
79 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
80 schema:name Mathematical Sciences
81 rdf:type schema:DefinedTerm
82 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
83 schema:name Pure Mathematics
84 rdf:type schema:DefinedTerm
85 sg:person.015240561701.11 schema:affiliation grid-institutes:grid.5117.2
86 schema:familyName Jensen
87 schema:givenName A.
88 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015240561701.11
89 rdf:type schema:Person
90 grid-institutes:grid.5117.2 schema:alternateName Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg Ø, Denmark
91 schema:name Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7, DK-9220, Aalborg Ø, Denmark
92 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...