Unitary quantum physics with time-space noncommutativity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-10-30

AUTHORS

Aiyalam P. Balachandran, Thupil R. Govindarajan, Carlos Molina Mendes, Paulo Teotonio-Sobrinho

ABSTRACT

In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail. In the context of noncommutative quantum mechanics, some important points are explored, such as the formal construction of the theory, symmetries, causality, simultaneity and observables. The dynamics generated by a noncommutative Schrödinger equation is studied. We prove in particular the following: suppose the hamiltonian H of a quantum mechanical particle on spacetime N−1 × has no explicit time dependence, and the spatial coordinates commute in its noncommutative form (the only noncommutativity being between time and a space coordinate). Then the noncommutative version Ĥ of H and H have identical spectra. More... »

PAGES

072

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/10/072

DOI

http://dx.doi.org/10.1088/1126-6708/2004/10/072

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1041186034


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/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Physics Department, Syracuse University, Syracuse, NY, 13244-1130, U.S.A.", 
          "id": "http://www.grid.ac/institutes/grid.264484.8", 
          "name": [
            "Physics Department, Syracuse University, Syracuse, NY, 13244-1130, U.S.A."
          ], 
          "type": "Organization"
        }, 
        "familyName": "Balachandran", 
        "givenName": "Aiyalam P.", 
        "id": "sg:person.0675625774.88", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675625774.88"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "The Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600 113, India", 
          "id": "http://www.grid.ac/institutes/grid.462414.1", 
          "name": [
            "The Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600 113, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Govindarajan", 
        "givenName": "Thupil R.", 
        "id": "sg:person.014547132667.28", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014547132667.28"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Instituto de F\u00edsica, Universidade de S\u00e3o Paulo, C.P. 66318, S\u00e3o Paulo, SP, 05315-970, Brazil", 
          "id": "http://www.grid.ac/institutes/grid.11899.38", 
          "name": [
            "Instituto de F\u00edsica, Universidade de S\u00e3o Paulo, C.P. 66318, S\u00e3o Paulo, SP, 05315-970, Brazil"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mendes", 
        "givenName": "Carlos Molina", 
        "id": "sg:person.01063212657.77", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01063212657.77"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Instituto de F\u00edsica, Universidade de S\u00e3o Paulo, C.P. 66318, S\u00e3o Paulo, SP, 05315-970, Brazil", 
          "id": "http://www.grid.ac/institutes/grid.11899.38", 
          "name": [
            "Instituto de F\u00edsica, Universidade de S\u00e3o Paulo, C.P. 66318, S\u00e3o Paulo, SP, 05315-970, Brazil"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Teotonio-Sobrinho", 
        "givenName": "Paulo", 
        "id": "sg:person.015310735503.18", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015310735503.18"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1088/1126-6708/2002/06/049", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044462065", 
          "https://doi.org/10.1088/1126-6708/2002/06/049"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02104515", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007206507", 
          "https://doi.org/10.1007/bf02104515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s100520100664", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054520754", 
          "https://doi.org/10.1007/s100520100664"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1088/1126-6708/2004/05/053", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018562428", 
          "https://doi.org/10.1088/1126-6708/2004/05/053"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2004-10-30", 
    "datePublishedReg": "2004-10-30", 
    "description": "In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail. In the context of noncommutative quantum mechanics, some important points are explored, such as the formal construction of the theory, symmetries, causality, simultaneity and observables. The dynamics generated by a noncommutative Schr\u00f6dinger equation is studied. We prove in particular the following: suppose the hamiltonian H of a quantum mechanical particle on spacetime N\u22121 \u00d7 has no explicit time dependence, and the spatial coordinates commute in its noncommutative form (the only noncommutativity being between time and a space coordinate). Then the noncommutative version \u0124 of H and H have identical spectra.", 
    "genre": "article", 
    "id": "sg:pub.10.1088/1126-6708/2004/10/072", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1052482", 
        "issn": [
          "1126-6708", 
          "1029-8479"
        ], 
        "name": "Journal of High Energy Physics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "10", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2004"
      }
    ], 
    "keywords": [
      "time-space noncommutativity", 
      "quantum physics", 
      "noncommutative quantum mechanics", 
      "noncommutative Schr\u00f6dinger equation", 
      "Doplicher et al", 
      "quantum mechanical particle", 
      "quantum mechanics", 
      "mechanical particle", 
      "explicit time dependence", 
      "noncommutative form", 
      "Schr\u00f6dinger equation", 
      "Moyal plane", 
      "noncommutative spacetime", 
      "physics", 
      "time dependence", 
      "noncommutativity", 
      "identical spectra", 
      "spacetime", 
      "spatial coordinates", 
      "observables", 
      "et al", 
      "spectra", 
      "symmetry", 
      "particles", 
      "dependence", 
      "mechanics", 
      "plane", 
      "dynamics", 
      "coordinates", 
      "al", 
      "theory", 
      "detail", 
      "equations", 
      "formal construction", 
      "simultaneity", 
      "important point", 
      "work", 
      "point", 
      "form", 
      "construction", 
      "causality", 
      "context", 
      "work quantum physics", 
      "noncommutative version \u0124", 
      "version \u0124", 
      "Unitary quantum physics"
    ], 
    "name": "Unitary quantum physics with time-space noncommutativity", 
    "pagination": "072", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1041186034"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1088/1126-6708/2004/10/072"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1088/1126-6708/2004/10/072", 
      "https://app.dimensions.ai/details/publication/pub.1041186034"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2021-12-01T19:15", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_387.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1088/1126-6708/2004/10/072"
  }
]
 

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.10.1088/1126-6708/2004/10/072'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2004/10/072'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2004/10/072'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2004/10/072'


 

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

147 TRIPLES      22 PREDICATES      75 URIs      63 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1088/1126-6708/2004/10/072 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author N718b88a41f4d4ef0b2335db05c885ace
4 schema:citation sg:pub.10.1007/bf02104515
5 sg:pub.10.1007/s100520100664
6 sg:pub.10.1088/1126-6708/2002/06/049
7 sg:pub.10.1088/1126-6708/2004/05/053
8 schema:datePublished 2004-10-30
9 schema:datePublishedReg 2004-10-30
10 schema:description In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail. In the context of noncommutative quantum mechanics, some important points are explored, such as the formal construction of the theory, symmetries, causality, simultaneity and observables. The dynamics generated by a noncommutative Schrödinger equation is studied. We prove in particular the following: suppose the hamiltonian H of a quantum mechanical particle on spacetime N−1 × has no explicit time dependence, and the spatial coordinates commute in its noncommutative form (the only noncommutativity being between time and a space coordinate). Then the noncommutative version Ĥ of H and H have identical spectra.
11 schema:genre article
12 schema:inLanguage en
13 schema:isAccessibleForFree true
14 schema:isPartOf N4a42d360d2594fac8e0faec5c686eab3
15 N6353588e46e742ea9a9943d6bcad818d
16 sg:journal.1052482
17 schema:keywords Doplicher et al
18 Moyal plane
19 Schrödinger equation
20 Unitary quantum physics
21 al
22 causality
23 construction
24 context
25 coordinates
26 dependence
27 detail
28 dynamics
29 equations
30 et al
31 explicit time dependence
32 form
33 formal construction
34 identical spectra
35 important point
36 mechanical particle
37 mechanics
38 noncommutative Schrödinger equation
39 noncommutative form
40 noncommutative quantum mechanics
41 noncommutative spacetime
42 noncommutative version Ĥ
43 noncommutativity
44 observables
45 particles
46 physics
47 plane
48 point
49 quantum mechanical particle
50 quantum mechanics
51 quantum physics
52 simultaneity
53 spacetime
54 spatial coordinates
55 spectra
56 symmetry
57 theory
58 time dependence
59 time-space noncommutativity
60 version Ĥ
61 work
62 work quantum physics
63 schema:name Unitary quantum physics with time-space noncommutativity
64 schema:pagination 072
65 schema:productId N48d37bc1cc4040d6b28b8cf396635b25
66 Nc19f78379f0744a3bd87fa3cdec7373e
67 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041186034
68 https://doi.org/10.1088/1126-6708/2004/10/072
69 schema:sdDatePublished 2021-12-01T19:15
70 schema:sdLicense https://scigraph.springernature.com/explorer/license/
71 schema:sdPublisher N0447e28d3f874d20962eb61ea962ff97
72 schema:url https://doi.org/10.1088/1126-6708/2004/10/072
73 sgo:license sg:explorer/license/
74 sgo:sdDataset articles
75 rdf:type schema:ScholarlyArticle
76 N0447e28d3f874d20962eb61ea962ff97 schema:name Springer Nature - SN SciGraph project
77 rdf:type schema:Organization
78 N19d32b970dc840288c48ea89553600c0 rdf:first sg:person.015310735503.18
79 rdf:rest rdf:nil
80 N48d37bc1cc4040d6b28b8cf396635b25 schema:name dimensions_id
81 schema:value pub.1041186034
82 rdf:type schema:PropertyValue
83 N4a42d360d2594fac8e0faec5c686eab3 schema:issueNumber 10
84 rdf:type schema:PublicationIssue
85 N6353588e46e742ea9a9943d6bcad818d schema:volumeNumber 2004
86 rdf:type schema:PublicationVolume
87 N718b88a41f4d4ef0b2335db05c885ace rdf:first sg:person.0675625774.88
88 rdf:rest Nef9ef2f3f6654fb9ab6ae518fe1ff73d
89 Nc19f78379f0744a3bd87fa3cdec7373e schema:name doi
90 schema:value 10.1088/1126-6708/2004/10/072
91 rdf:type schema:PropertyValue
92 Nc4ee61aea59b4a6f9495cf5652aaa333 rdf:first sg:person.01063212657.77
93 rdf:rest N19d32b970dc840288c48ea89553600c0
94 Nef9ef2f3f6654fb9ab6ae518fe1ff73d rdf:first sg:person.014547132667.28
95 rdf:rest Nc4ee61aea59b4a6f9495cf5652aaa333
96 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
97 schema:name Physical Sciences
98 rdf:type schema:DefinedTerm
99 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
100 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
101 rdf:type schema:DefinedTerm
102 sg:journal.1052482 schema:issn 1029-8479
103 1126-6708
104 schema:name Journal of High Energy Physics
105 schema:publisher Springer Nature
106 rdf:type schema:Periodical
107 sg:person.01063212657.77 schema:affiliation grid-institutes:grid.11899.38
108 schema:familyName Mendes
109 schema:givenName Carlos Molina
110 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01063212657.77
111 rdf:type schema:Person
112 sg:person.014547132667.28 schema:affiliation grid-institutes:grid.462414.1
113 schema:familyName Govindarajan
114 schema:givenName Thupil R.
115 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014547132667.28
116 rdf:type schema:Person
117 sg:person.015310735503.18 schema:affiliation grid-institutes:grid.11899.38
118 schema:familyName Teotonio-Sobrinho
119 schema:givenName Paulo
120 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015310735503.18
121 rdf:type schema:Person
122 sg:person.0675625774.88 schema:affiliation grid-institutes:grid.264484.8
123 schema:familyName Balachandran
124 schema:givenName Aiyalam P.
125 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675625774.88
126 rdf:type schema:Person
127 sg:pub.10.1007/bf02104515 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007206507
128 https://doi.org/10.1007/bf02104515
129 rdf:type schema:CreativeWork
130 sg:pub.10.1007/s100520100664 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054520754
131 https://doi.org/10.1007/s100520100664
132 rdf:type schema:CreativeWork
133 sg:pub.10.1088/1126-6708/2002/06/049 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044462065
134 https://doi.org/10.1088/1126-6708/2002/06/049
135 rdf:type schema:CreativeWork
136 sg:pub.10.1088/1126-6708/2004/05/053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018562428
137 https://doi.org/10.1088/1126-6708/2004/05/053
138 rdf:type schema:CreativeWork
139 grid-institutes:grid.11899.38 schema:alternateName Instituto de Física, Universidade de São Paulo, C.P. 66318, São Paulo, SP, 05315-970, Brazil
140 schema:name Instituto de Física, Universidade de São Paulo, C.P. 66318, São Paulo, SP, 05315-970, Brazil
141 rdf:type schema:Organization
142 grid-institutes:grid.264484.8 schema:alternateName Physics Department, Syracuse University, Syracuse, NY, 13244-1130, U.S.A.
143 schema:name Physics Department, Syracuse University, Syracuse, NY, 13244-1130, U.S.A.
144 rdf:type schema:Organization
145 grid-institutes:grid.462414.1 schema:alternateName The Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600 113, India
146 schema:name The Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600 113, India
147 rdf:type schema:Organization
 




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


...