On the Cook-Kuroda criterion in scattering theory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1979-02

AUTHORS

Tosio Kato

ABSTRACT

A new criterion of the Cook-Kuroda type for the existence of the wave operator in the two-space scattering theory is introduced. The condition is quite simple, but it generalizes not only the original Cook-Kuroda condition but also its generalization recently given by Schechter. Specialized to the one-space case, it is actually equivalent to Schechter's condition for an optimal choice of factorization. An application to potential scattering leads to a new result. More... »

PAGES

85-90

References to SciGraph publications

  • 1977-06. Scattering theory and quadratic forms: On a theorem of Schechter in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1974. Second Look at the Essential Selfadjointness of the Schrodinger Operators in PHYSICAL REALITY AND MATHEMATICAL DESCRIPTION
  • 1959-06. On the existence and the unitary property of the scattering operator in IL NUOVO CIMENTO (1955-1965)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01223202

    DOI

    http://dx.doi.org/10.1007/bf01223202

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1048941525


    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/2008/0202", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of California, Berkeley", 
              "id": "https://www.grid.ac/institutes/grid.47840.3f", 
              "name": [
                "Department of Mathematics, University of California, 94720, Berkeley, California, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kato", 
            "givenName": "Tosio", 
            "id": "sg:person.0672636204.67", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0672636204.67"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/978-94-010-2274-3_11", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009477636", 
              "https://doi.org/10.1007/978-94-010-2274-3_11"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01609129", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029361788", 
              "https://doi.org/10.1007/bf01609129"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01609129", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029361788", 
              "https://doi.org/10.1007/bf01609129"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02745786", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039133392", 
              "https://doi.org/10.1007/bf02745786"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02745786", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039133392", 
              "https://doi.org/10.1007/bf02745786"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-1236(67)90019-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039270215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/sapm195736182", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042068822"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-77-04439-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064418890"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1979-02", 
        "datePublishedReg": "1979-02-01", 
        "description": "A new criterion of the Cook-Kuroda type for the existence of the wave operator in the two-space scattering theory is introduced. The condition is quite simple, but it generalizes not only the original Cook-Kuroda condition but also its generalization recently given by Schechter. Specialized to the one-space case, it is actually equivalent to Schechter's condition for an optimal choice of factorization. An application to potential scattering leads to a new result.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf01223202", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136216", 
            "issn": [
              "0010-3616", 
              "1432-0916"
            ], 
            "name": "Communications in Mathematical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "67"
          }
        ], 
        "name": "On the Cook-Kuroda criterion in scattering theory", 
        "pagination": "85-90", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "e9262f5f8af56a669b12b8ed6214b61a8b45488694197f0fe85921449dcb89ee"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01223202"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1048941525"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01223202", 
          "https://app.dimensions.ai/details/publication/pub.1048941525"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:29", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46747_00000002.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF01223202"
      }
    ]
     

    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/bf01223202'

    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/bf01223202'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01223202'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01223202'


     

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

    82 TRIPLES      21 PREDICATES      33 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01223202 schema:about anzsrc-for:02
    2 anzsrc-for:0202
    3 schema:author N500c866ea3a848d5b874878353e71800
    4 schema:citation sg:pub.10.1007/978-94-010-2274-3_11
    5 sg:pub.10.1007/bf01609129
    6 sg:pub.10.1007/bf02745786
    7 https://doi.org/10.1002/sapm195736182
    8 https://doi.org/10.1016/0022-1236(67)90019-5
    9 https://doi.org/10.1215/s0012-7094-77-04439-8
    10 schema:datePublished 1979-02
    11 schema:datePublishedReg 1979-02-01
    12 schema:description A new criterion of the Cook-Kuroda type for the existence of the wave operator in the two-space scattering theory is introduced. The condition is quite simple, but it generalizes not only the original Cook-Kuroda condition but also its generalization recently given by Schechter. Specialized to the one-space case, it is actually equivalent to Schechter's condition for an optimal choice of factorization. An application to potential scattering leads to a new result.
    13 schema:genre research_article
    14 schema:inLanguage en
    15 schema:isAccessibleForFree false
    16 schema:isPartOf N4539a812056249e684a4fa77a4910173
    17 N8970c849db6543a7965e3ec0963450fc
    18 sg:journal.1136216
    19 schema:name On the Cook-Kuroda criterion in scattering theory
    20 schema:pagination 85-90
    21 schema:productId N5bf059e5005748819f8e8ddc2ed3586d
    22 Nc61f6aba8baa4b969bc17dd5d54ff7d2
    23 Nf5b0ec24428d4af8b42f71ab6c21a4b1
    24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048941525
    25 https://doi.org/10.1007/bf01223202
    26 schema:sdDatePublished 2019-04-11T13:29
    27 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    28 schema:sdPublisher N0b353b83677f49cfa1359c4a174d9db9
    29 schema:url http://link.springer.com/10.1007/BF01223202
    30 sgo:license sg:explorer/license/
    31 sgo:sdDataset articles
    32 rdf:type schema:ScholarlyArticle
    33 N0b353b83677f49cfa1359c4a174d9db9 schema:name Springer Nature - SN SciGraph project
    34 rdf:type schema:Organization
    35 N4539a812056249e684a4fa77a4910173 schema:issueNumber 1
    36 rdf:type schema:PublicationIssue
    37 N500c866ea3a848d5b874878353e71800 rdf:first sg:person.0672636204.67
    38 rdf:rest rdf:nil
    39 N5bf059e5005748819f8e8ddc2ed3586d schema:name readcube_id
    40 schema:value e9262f5f8af56a669b12b8ed6214b61a8b45488694197f0fe85921449dcb89ee
    41 rdf:type schema:PropertyValue
    42 N8970c849db6543a7965e3ec0963450fc schema:volumeNumber 67
    43 rdf:type schema:PublicationVolume
    44 Nc61f6aba8baa4b969bc17dd5d54ff7d2 schema:name dimensions_id
    45 schema:value pub.1048941525
    46 rdf:type schema:PropertyValue
    47 Nf5b0ec24428d4af8b42f71ab6c21a4b1 schema:name doi
    48 schema:value 10.1007/bf01223202
    49 rdf:type schema:PropertyValue
    50 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    51 schema:name Physical Sciences
    52 rdf:type schema:DefinedTerm
    53 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
    54 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
    55 rdf:type schema:DefinedTerm
    56 sg:journal.1136216 schema:issn 0010-3616
    57 1432-0916
    58 schema:name Communications in Mathematical Physics
    59 rdf:type schema:Periodical
    60 sg:person.0672636204.67 schema:affiliation https://www.grid.ac/institutes/grid.47840.3f
    61 schema:familyName Kato
    62 schema:givenName Tosio
    63 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0672636204.67
    64 rdf:type schema:Person
    65 sg:pub.10.1007/978-94-010-2274-3_11 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009477636
    66 https://doi.org/10.1007/978-94-010-2274-3_11
    67 rdf:type schema:CreativeWork
    68 sg:pub.10.1007/bf01609129 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029361788
    69 https://doi.org/10.1007/bf01609129
    70 rdf:type schema:CreativeWork
    71 sg:pub.10.1007/bf02745786 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039133392
    72 https://doi.org/10.1007/bf02745786
    73 rdf:type schema:CreativeWork
    74 https://doi.org/10.1002/sapm195736182 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042068822
    75 rdf:type schema:CreativeWork
    76 https://doi.org/10.1016/0022-1236(67)90019-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039270215
    77 rdf:type schema:CreativeWork
    78 https://doi.org/10.1215/s0012-7094-77-04439-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064418890
    79 rdf:type schema:CreativeWork
    80 https://www.grid.ac/institutes/grid.47840.3f schema:alternateName University of California, Berkeley
    81 schema:name Department of Mathematics, University of California, 94720, Berkeley, California, USA
    82 rdf:type schema:Organization
     




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


    ...