Semantic Foundation of the Quantization Program View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1971

AUTHORS

Arthur Komar

ABSTRACT

It is a well-known result of VON Neumann [1] that the representation of the commutation relations of the basic dynamical variables of quantum theory is unique modulo a unitary transformation. This result, valid only for systems having finite numbers of degrees of freedom, seems to imply that, for such mechanical systems, the procedure of quantization is not sensitive to the particular choice of classical canonical variables which one initially employs. This implication is in fact false. The choice of canonical variables which one employs to initiate a quantization of a given classical theory is quite critical. More... »

PAGES

111-118

References to SciGraph publications

Book

TITLE

Problems in the Foundations of Physics

ISBN

978-3-642-80626-1
978-3-642-80624-7

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-80624-7_8

DOI

http://dx.doi.org/10.1007/978-3-642-80624-7_8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1045818911


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Yeshiva University", 
          "id": "https://www.grid.ac/institutes/grid.268433.8", 
          "name": [
            "Department of Physics, Belfer Graduate School of Science, Yeshiva University, New York, N.Y., USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Komar", 
        "givenName": "Arthur", 
        "id": "sg:person.01073536650.53", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01073536650.53"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf00414189", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040727179", 
          "https://doi.org/10.1007/bf00414189"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00414189", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040727179", 
          "https://doi.org/10.1007/bf00414189"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.134.b1430", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060428705"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.134.b1430", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060428705"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.89.4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060460245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.89.4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060460245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/9781400884216", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1096911032"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1971", 
    "datePublishedReg": "1971-01-01", 
    "description": "It is a well-known result of VON Neumann [1] that the representation of the commutation relations of the basic dynamical variables of quantum theory is unique modulo a unitary transformation. This result, valid only for systems having finite numbers of degrees of freedom, seems to imply that, for such mechanical systems, the procedure of quantization is not sensitive to the particular choice of classical canonical variables which one initially employs. This implication is in fact false. The choice of canonical variables which one employs to initiate a quantization of a given classical theory is quite critical.", 
    "editor": [
      {
        "familyName": "Bunge", 
        "givenName": "Mario", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-642-80624-7_8", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-642-80626-1", 
        "978-3-642-80624-7"
      ], 
      "name": "Problems in the Foundations of Physics", 
      "type": "Book"
    }, 
    "name": "Semantic Foundation of the Quantization Program", 
    "pagination": "111-118", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-642-80624-7_8"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "da412320fd97f862df5e7cc41625a4bd9159b85129cfe2b228334a72fa4492e7"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1045818911"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-642-80624-7_8", 
      "https://app.dimensions.ai/details/publication/pub.1045818911"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T23:54", 
    "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/v90/0000000001_0000000264/records_8697_00000271.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-642-80624-7_8"
  }
]
 

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.10.1007/978-3-642-80624-7_8'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-80624-7_8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-80624-7_8'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-80624-7_8'


 

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

78 TRIPLES      23 PREDICATES      31 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-642-80624-7_8 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Nefb99bdd849f4c01a42782948a3f2cb0
4 schema:citation sg:pub.10.1007/bf00414189
5 https://doi.org/10.1103/physrev.134.b1430
6 https://doi.org/10.1103/physrev.89.4
7 https://doi.org/10.1515/9781400884216
8 schema:datePublished 1971
9 schema:datePublishedReg 1971-01-01
10 schema:description It is a well-known result of VON Neumann [1] that the representation of the commutation relations of the basic dynamical variables of quantum theory is unique modulo a unitary transformation. This result, valid only for systems having finite numbers of degrees of freedom, seems to imply that, for such mechanical systems, the procedure of quantization is not sensitive to the particular choice of classical canonical variables which one initially employs. This implication is in fact false. The choice of canonical variables which one employs to initiate a quantization of a given classical theory is quite critical.
11 schema:editor N7399bd5e624447ca8cf7ea1792d21a6d
12 schema:genre chapter
13 schema:inLanguage en
14 schema:isAccessibleForFree false
15 schema:isPartOf N05cca95707f6430484bc998de1a142fa
16 schema:name Semantic Foundation of the Quantization Program
17 schema:pagination 111-118
18 schema:productId N246c38666d1d4a10be318fdce452c7ef
19 N4161bec41f654afe9a1d37d19511c476
20 N75188d204aeb4706b77a59761518f2d6
21 schema:publisher Ncd833bb0bd2f4b5398668d62e2238e2b
22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045818911
23 https://doi.org/10.1007/978-3-642-80624-7_8
24 schema:sdDatePublished 2019-04-15T23:54
25 schema:sdLicense https://scigraph.springernature.com/explorer/license/
26 schema:sdPublisher N02a0f290eed241a39c06e69e7a638f2e
27 schema:url http://link.springer.com/10.1007/978-3-642-80624-7_8
28 sgo:license sg:explorer/license/
29 sgo:sdDataset chapters
30 rdf:type schema:Chapter
31 N02a0f290eed241a39c06e69e7a638f2e schema:name Springer Nature - SN SciGraph project
32 rdf:type schema:Organization
33 N05cca95707f6430484bc998de1a142fa schema:isbn 978-3-642-80624-7
34 978-3-642-80626-1
35 schema:name Problems in the Foundations of Physics
36 rdf:type schema:Book
37 N246c38666d1d4a10be318fdce452c7ef schema:name doi
38 schema:value 10.1007/978-3-642-80624-7_8
39 rdf:type schema:PropertyValue
40 N4161bec41f654afe9a1d37d19511c476 schema:name dimensions_id
41 schema:value pub.1045818911
42 rdf:type schema:PropertyValue
43 N7399bd5e624447ca8cf7ea1792d21a6d rdf:first Nbdcd1aac4986431a839230287cdaf776
44 rdf:rest rdf:nil
45 N75188d204aeb4706b77a59761518f2d6 schema:name readcube_id
46 schema:value da412320fd97f862df5e7cc41625a4bd9159b85129cfe2b228334a72fa4492e7
47 rdf:type schema:PropertyValue
48 Nbdcd1aac4986431a839230287cdaf776 schema:familyName Bunge
49 schema:givenName Mario
50 rdf:type schema:Person
51 Ncd833bb0bd2f4b5398668d62e2238e2b schema:location Berlin, Heidelberg
52 schema:name Springer Berlin Heidelberg
53 rdf:type schema:Organisation
54 Nefb99bdd849f4c01a42782948a3f2cb0 rdf:first sg:person.01073536650.53
55 rdf:rest rdf:nil
56 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
57 schema:name Mathematical Sciences
58 rdf:type schema:DefinedTerm
59 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
60 schema:name Pure Mathematics
61 rdf:type schema:DefinedTerm
62 sg:person.01073536650.53 schema:affiliation https://www.grid.ac/institutes/grid.268433.8
63 schema:familyName Komar
64 schema:givenName Arthur
65 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01073536650.53
66 rdf:type schema:Person
67 sg:pub.10.1007/bf00414189 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040727179
68 https://doi.org/10.1007/bf00414189
69 rdf:type schema:CreativeWork
70 https://doi.org/10.1103/physrev.134.b1430 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060428705
71 rdf:type schema:CreativeWork
72 https://doi.org/10.1103/physrev.89.4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060460245
73 rdf:type schema:CreativeWork
74 https://doi.org/10.1515/9781400884216 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096911032
75 rdf:type schema:CreativeWork
76 https://www.grid.ac/institutes/grid.268433.8 schema:alternateName Yeshiva University
77 schema:name Department of Physics, Belfer Graduate School of Science, Yeshiva University, New York, N.Y., USA
78 rdf:type schema:Organization
 




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


...