Relativistic Bohmian Trajectories and Klein-Gordon Currents for Spin-0 Particles View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2022-09-19

AUTHORS

M. Alkhateeb, A. Matzkin

ABSTRACT

It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard (canonical) representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions. We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle and associated density current can be defined. For the free Klein-Gordon equation the velocity field obtained from this current density appears to be well-behaved and sub-luminal in typical instances. As an illustration, Bohmian trajectories for a spin-0 boson distribution are computed numerically for free propagation in situations in which the standard velocity field would take arbitrarily high positive and negative values. More... »

PAGES

104

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10701-022-00625-2

DOI

http://dx.doi.org/10.1007/s10701-022-00625-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1151125418


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/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/22", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Philosophy and Religious Studies", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation, CNRS Unit\u00e9 8089, CY Cergy Paris Universit\u00e9, Cedex 95302, Cergy-Pontoise, France", 
          "id": "http://www.grid.ac/institutes/grid.507676.5", 
          "name": [
            "Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation, CNRS Unit\u00e9 8089, CY Cergy Paris Universit\u00e9, Cedex 95302, Cergy-Pontoise, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Alkhateeb", 
        "givenName": "M.", 
        "id": "sg:person.015610374507.91", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015610374507.91"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation, CNRS Unit\u00e9 8089, CY Cergy Paris Universit\u00e9, Cedex 95302, Cergy-Pontoise, France", 
          "id": "http://www.grid.ac/institutes/grid.507676.5", 
          "name": [
            "Laboratoire de Physique Th\u00e9orique et Mod\u00e9lisation, CNRS Unit\u00e9 8089, CY Cergy Paris Universit\u00e9, Cedex 95302, Cergy-Pontoise, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Matzkin", 
        "givenName": "A.", 
        "id": "sg:person.013401611361.75", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013401611361.75"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s10701-019-00245-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1112587505", 
          "https://doi.org/10.1007/s10701-019-00245-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1140/epjp/i2019-12922-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1120902178", 
          "https://doi.org/10.1140/epjp/i2019-12922-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1014865430144", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021834925", 
          "https://doi.org/10.1023/a:1014865430144"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10701-009-9304-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003647945", 
          "https://doi.org/10.1007/s10701-009-9304-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10701-008-9241-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011218171", 
          "https://doi.org/10.1007/s10701-008-9241-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10701-019-00297-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1121219099", 
          "https://doi.org/10.1007/s10701-019-00297-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10701-004-1984-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011430964", 
          "https://doi.org/10.1007/s10701-004-1984-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/b:fopl.0000035670.31755.0a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004803048", 
          "https://doi.org/10.1023/b:fopl.0000035670.31755.0a"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2022-09-19", 
    "datePublishedReg": "2022-09-19", 
    "description": "It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard (canonical) representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions. We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle and associated density current can be defined. For the free Klein-Gordon equation the velocity field obtained from this current density appears to be well-behaved and sub-luminal in typical instances. As an illustration, Bohmian trajectories for a spin-0 boson distribution are computed numerically for free propagation in situations in which the standard velocity field would take arbitrarily high positive and negative values.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s10701-022-00625-2", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1297335", 
        "issn": [
          "0015-9018", 
          "1572-9516"
        ], 
        "name": "Foundations of Physics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "52"
      }
    ], 
    "keywords": [
      "velocity field", 
      "current density", 
      "particle trajectories", 
      "density currents", 
      "particles", 
      "current", 
      "free propagation", 
      "density", 
      "equations", 
      "superposition of particles", 
      "negative values", 
      "field", 
      "propagation", 
      "trajectories", 
      "superposition", 
      "typical instances", 
      "distribution", 
      "model", 
      "values", 
      "situation", 
      "evolution", 
      "representation", 
      "contribution", 
      "basis", 
      "illustration", 
      "fact", 
      "standard representation", 
      "instances", 
      "particle interpretation", 
      "interpretation", 
      "type representation", 
      "Klein-Gordon equation", 
      "spin-0 particles", 
      "Bohmian trajectories", 
      "wavefunctions", 
      "de Broglie-Bohm model", 
      "free Klein\u2013Gordon equation", 
      "boson distributions"
    ], 
    "name": "Relativistic Bohmian Trajectories and Klein-Gordon Currents for Spin-0 Particles", 
    "pagination": "104", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1151125418"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10701-022-00625-2"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10701-022-00625-2", 
      "https://app.dimensions.ai/details/publication/pub.1151125418"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-12-01T06:44", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20221201/entities/gbq_results/article/article_920.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s10701-022-00625-2"
  }
]
 

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/s10701-022-00625-2'

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/s10701-022-00625-2'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10701-022-00625-2'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10701-022-00625-2'


 

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

138 TRIPLES      21 PREDICATES      71 URIs      54 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10701-022-00625-2 schema:about anzsrc-for:01
2 anzsrc-for:02
3 anzsrc-for:22
4 schema:author N0a58c6ba41bb45f09219ecb8f318075c
5 schema:citation sg:pub.10.1007/s10701-004-1984-8
6 sg:pub.10.1007/s10701-008-9241-1
7 sg:pub.10.1007/s10701-009-9304-y
8 sg:pub.10.1007/s10701-019-00245-3
9 sg:pub.10.1007/s10701-019-00297-5
10 sg:pub.10.1023/a:1014865430144
11 sg:pub.10.1023/b:fopl.0000035670.31755.0a
12 sg:pub.10.1140/epjp/i2019-12922-5
13 schema:datePublished 2022-09-19
14 schema:datePublishedReg 2022-09-19
15 schema:description It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard (canonical) representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions. We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle and associated density current can be defined. For the free Klein-Gordon equation the velocity field obtained from this current density appears to be well-behaved and sub-luminal in typical instances. As an illustration, Bohmian trajectories for a spin-0 boson distribution are computed numerically for free propagation in situations in which the standard velocity field would take arbitrarily high positive and negative values.
16 schema:genre article
17 schema:isAccessibleForFree true
18 schema:isPartOf N22f47ad5cb8343d3812addf788c92327
19 Nfb63abe0405340878de3b97e395dc528
20 sg:journal.1297335
21 schema:keywords Bohmian trajectories
22 Klein-Gordon equation
23 basis
24 boson distributions
25 contribution
26 current
27 current density
28 de Broglie-Bohm model
29 density
30 density currents
31 distribution
32 equations
33 evolution
34 fact
35 field
36 free Klein–Gordon equation
37 free propagation
38 illustration
39 instances
40 interpretation
41 model
42 negative values
43 particle interpretation
44 particle trajectories
45 particles
46 propagation
47 representation
48 situation
49 spin-0 particles
50 standard representation
51 superposition
52 superposition of particles
53 trajectories
54 type representation
55 typical instances
56 values
57 velocity field
58 wavefunctions
59 schema:name Relativistic Bohmian Trajectories and Klein-Gordon Currents for Spin-0 Particles
60 schema:pagination 104
61 schema:productId N9e52e7e9c3aa49a7b8a12d504af80c78
62 Nf8efa09f8d424a15a1a943b01cc0fe63
63 schema:sameAs https://app.dimensions.ai/details/publication/pub.1151125418
64 https://doi.org/10.1007/s10701-022-00625-2
65 schema:sdDatePublished 2022-12-01T06:44
66 schema:sdLicense https://scigraph.springernature.com/explorer/license/
67 schema:sdPublisher Nc87b9c7caa27479895ee448f3b22aa5a
68 schema:url https://doi.org/10.1007/s10701-022-00625-2
69 sgo:license sg:explorer/license/
70 sgo:sdDataset articles
71 rdf:type schema:ScholarlyArticle
72 N0a58c6ba41bb45f09219ecb8f318075c rdf:first sg:person.015610374507.91
73 rdf:rest N44cbb1cbf5964d8bbb6eba2ebb452634
74 N22f47ad5cb8343d3812addf788c92327 schema:volumeNumber 52
75 rdf:type schema:PublicationVolume
76 N44cbb1cbf5964d8bbb6eba2ebb452634 rdf:first sg:person.013401611361.75
77 rdf:rest rdf:nil
78 N9e52e7e9c3aa49a7b8a12d504af80c78 schema:name dimensions_id
79 schema:value pub.1151125418
80 rdf:type schema:PropertyValue
81 Nc87b9c7caa27479895ee448f3b22aa5a schema:name Springer Nature - SN SciGraph project
82 rdf:type schema:Organization
83 Nf8efa09f8d424a15a1a943b01cc0fe63 schema:name doi
84 schema:value 10.1007/s10701-022-00625-2
85 rdf:type schema:PropertyValue
86 Nfb63abe0405340878de3b97e395dc528 schema:issueNumber 5
87 rdf:type schema:PublicationIssue
88 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
89 schema:name Mathematical Sciences
90 rdf:type schema:DefinedTerm
91 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
92 schema:name Physical Sciences
93 rdf:type schema:DefinedTerm
94 anzsrc-for:22 schema:inDefinedTermSet anzsrc-for:
95 schema:name Philosophy and Religious Studies
96 rdf:type schema:DefinedTerm
97 sg:journal.1297335 schema:issn 0015-9018
98 1572-9516
99 schema:name Foundations of Physics
100 schema:publisher Springer Nature
101 rdf:type schema:Periodical
102 sg:person.013401611361.75 schema:affiliation grid-institutes:grid.507676.5
103 schema:familyName Matzkin
104 schema:givenName A.
105 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013401611361.75
106 rdf:type schema:Person
107 sg:person.015610374507.91 schema:affiliation grid-institutes:grid.507676.5
108 schema:familyName Alkhateeb
109 schema:givenName M.
110 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015610374507.91
111 rdf:type schema:Person
112 sg:pub.10.1007/s10701-004-1984-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011430964
113 https://doi.org/10.1007/s10701-004-1984-8
114 rdf:type schema:CreativeWork
115 sg:pub.10.1007/s10701-008-9241-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011218171
116 https://doi.org/10.1007/s10701-008-9241-1
117 rdf:type schema:CreativeWork
118 sg:pub.10.1007/s10701-009-9304-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1003647945
119 https://doi.org/10.1007/s10701-009-9304-y
120 rdf:type schema:CreativeWork
121 sg:pub.10.1007/s10701-019-00245-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112587505
122 https://doi.org/10.1007/s10701-019-00245-3
123 rdf:type schema:CreativeWork
124 sg:pub.10.1007/s10701-019-00297-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1121219099
125 https://doi.org/10.1007/s10701-019-00297-5
126 rdf:type schema:CreativeWork
127 sg:pub.10.1023/a:1014865430144 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021834925
128 https://doi.org/10.1023/a:1014865430144
129 rdf:type schema:CreativeWork
130 sg:pub.10.1023/b:fopl.0000035670.31755.0a schema:sameAs https://app.dimensions.ai/details/publication/pub.1004803048
131 https://doi.org/10.1023/b:fopl.0000035670.31755.0a
132 rdf:type schema:CreativeWork
133 sg:pub.10.1140/epjp/i2019-12922-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1120902178
134 https://doi.org/10.1140/epjp/i2019-12922-5
135 rdf:type schema:CreativeWork
136 grid-institutes:grid.507676.5 schema:alternateName Laboratoire de Physique Théorique et Modélisation, CNRS Unité 8089, CY Cergy Paris Université, Cedex 95302, Cergy-Pontoise, France
137 schema:name Laboratoire de Physique Théorique et Modélisation, CNRS Unité 8089, CY Cergy Paris Université, Cedex 95302, Cergy-Pontoise, France
138 rdf:type schema:Organization
 




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


...