What are the quantum commutation relations for the total angular momentum of light? Article Swipe
Pronoy Das
,
Li‐Ping Yang
,
Zubin Jacob
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2403.16266
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2403.16266
The total angular momentum of light has received attention for its application in a variety of phenomena such as optical communication, optical forces and sensing. However, the quantum behavior including the commutation relations have been relatively less explored. Here, we derive the correct commutation relation for the total angular momentum of light using both relativistic and non-relativistic approaches. An important outcome of our work is the proof that the widely-assumed quantum commutation relation for the total observable angular momentum of light is fundamentally incorrect. Our work will motivate experiments and leads to new insight on the quantum behavior of the angular momentum of light.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2403.16266
- https://arxiv.org/pdf/2403.16266
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4393213161
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4393213161Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2403.16266Digital Object Identifier
- Title
-
What are the quantum commutation relations for the total angular momentum of light?Work title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-03-24Full publication date if available
- Authors
-
Pronoy Das, Li‐Ping Yang, Zubin JacobList of authors in order
- Landing page
-
https://arxiv.org/abs/2403.16266Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2403.16266Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2403.16266Direct OA link when available
- Concepts
-
Angular momentum, Physics, Quantum, Commutation, Total angular momentum quantum number, Quantum electrodynamics, Momentum (technical analysis), Quantum mechanics, Economics, Finance, VoltageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1Per-year citation counts (last 5 years)
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4393213161 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2403.16266 |
| ids.doi | https://doi.org/10.48550/arxiv.2403.16266 |
| ids.openalex | https://openalex.org/W4393213161 |
| fwci | |
| type | preprint |
| title | What are the quantum commutation relations for the total angular momentum of light? |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10490 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9940000176429749 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3107 |
| topics[0].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[0].display_name | Orbital Angular Momentum in Optics |
| topics[1].id | https://openalex.org/T10622 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.972100019454956 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3107 |
| topics[1].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[1].display_name | Quantum Mechanics and Applications |
| topics[2].id | https://openalex.org/T10020 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.9567999839782715 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1702 |
| topics[2].subfield.display_name | Artificial Intelligence |
| topics[2].display_name | Quantum Information and Cryptography |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C155675718 |
| concepts[0].level | 2 |
| concepts[0].score | 0.6462709903717041 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q161254 |
| concepts[0].display_name | Angular momentum |
| concepts[1].id | https://openalex.org/C121332964 |
| concepts[1].level | 0 |
| concepts[1].score | 0.5915364027023315 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[1].display_name | Physics |
| concepts[2].id | https://openalex.org/C84114770 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5792744159698486 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q46344 |
| concepts[2].display_name | Quantum |
| concepts[3].id | https://openalex.org/C2780147050 |
| concepts[3].level | 3 |
| concepts[3].score | 0.5467485189437866 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q5155085 |
| concepts[3].display_name | Commutation |
| concepts[4].id | https://openalex.org/C45193367 |
| concepts[4].level | 3 |
| concepts[4].score | 0.5304628610610962 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q1141095 |
| concepts[4].display_name | Total angular momentum quantum number |
| concepts[5].id | https://openalex.org/C3079626 |
| concepts[5].level | 1 |
| concepts[5].score | 0.4403698444366455 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q234881 |
| concepts[5].display_name | Quantum electrodynamics |
| concepts[6].id | https://openalex.org/C60718061 |
| concepts[6].level | 2 |
| concepts[6].score | 0.4218488335609436 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q1414747 |
| concepts[6].display_name | Momentum (technical analysis) |
| concepts[7].id | https://openalex.org/C62520636 |
| concepts[7].level | 1 |
| concepts[7].score | 0.3854873776435852 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[7].display_name | Quantum mechanics |
| concepts[8].id | https://openalex.org/C162324750 |
| concepts[8].level | 0 |
| concepts[8].score | 0.16105523705482483 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q8134 |
| concepts[8].display_name | Economics |
| concepts[9].id | https://openalex.org/C10138342 |
| concepts[9].level | 1 |
| concepts[9].score | 0.0 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q43015 |
| concepts[9].display_name | Finance |
| concepts[10].id | https://openalex.org/C165801399 |
| concepts[10].level | 2 |
| concepts[10].score | 0.0 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q25428 |
| concepts[10].display_name | Voltage |
| keywords[0].id | https://openalex.org/keywords/angular-momentum |
| keywords[0].score | 0.6462709903717041 |
| keywords[0].display_name | Angular momentum |
| keywords[1].id | https://openalex.org/keywords/physics |
| keywords[1].score | 0.5915364027023315 |
| keywords[1].display_name | Physics |
| keywords[2].id | https://openalex.org/keywords/quantum |
| keywords[2].score | 0.5792744159698486 |
| keywords[2].display_name | Quantum |
| keywords[3].id | https://openalex.org/keywords/commutation |
| keywords[3].score | 0.5467485189437866 |
| keywords[3].display_name | Commutation |
| keywords[4].id | https://openalex.org/keywords/total-angular-momentum-quantum-number |
| keywords[4].score | 0.5304628610610962 |
| keywords[4].display_name | Total angular momentum quantum number |
| keywords[5].id | https://openalex.org/keywords/quantum-electrodynamics |
| keywords[5].score | 0.4403698444366455 |
| keywords[5].display_name | Quantum electrodynamics |
| keywords[6].id | https://openalex.org/keywords/momentum |
| keywords[6].score | 0.4218488335609436 |
| keywords[6].display_name | Momentum (technical analysis) |
| keywords[7].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[7].score | 0.3854873776435852 |
| keywords[7].display_name | Quantum mechanics |
| keywords[8].id | https://openalex.org/keywords/economics |
| keywords[8].score | 0.16105523705482483 |
| keywords[8].display_name | Economics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2403.16266 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2403.16266 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2403.16266 |
| locations[1].id | pmh:oai:figshare.com:article/25488631 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400572 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | False |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | OPAL (Open@LaTrobe) (La Trobe University) |
| locations[1].source.host_organization | https://openalex.org/I196829312 |
| locations[1].source.host_organization_name | La Trobe University |
| locations[1].source.host_organization_lineage | https://openalex.org/I196829312 |
| locations[1].license | cc-by |
| locations[1].pdf_url | |
| locations[1].version | submittedVersion |
| locations[1].raw_type | Text |
| locations[1].license_id | https://openalex.org/licenses/cc-by |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://figshare.com/articles/preprint/What_are_the_quantum_commutation_relations_for_the_total_angular_momentum_of_light_/25488631 |
| locations[2].id | doi:10.48550/arxiv.2403.16266 |
| locations[2].is_oa | True |
| locations[2].source.id | https://openalex.org/S4306400194 |
| locations[2].source.issn | |
| locations[2].source.type | repository |
| locations[2].source.is_oa | True |
| locations[2].source.issn_l | |
| locations[2].source.is_core | False |
| locations[2].source.is_in_doaj | False |
| locations[2].source.display_name | arXiv (Cornell University) |
| locations[2].source.host_organization | https://openalex.org/I205783295 |
| locations[2].source.host_organization_name | Cornell University |
| locations[2].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[2].license | cc-by |
| locations[2].pdf_url | |
| locations[2].version | |
| locations[2].raw_type | article |
| locations[2].license_id | https://openalex.org/licenses/cc-by |
| locations[2].is_accepted | False |
| locations[2].is_published | |
| locations[2].raw_source_name | |
| locations[2].landing_page_url | https://doi.org/10.48550/arxiv.2403.16266 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5068874393 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-6441-7177 |
| authorships[0].author.display_name | Pronoy Das |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Das, Pronoy |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5077262333 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-7266-4901 |
| authorships[1].author.display_name | Li‐Ping Yang |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Yang, Li-Ping |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5069555028 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-5602-1412 |
| authorships[2].author.display_name | Zubin Jacob |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | Jacob, Zubin |
| authorships[2].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2403.16266 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | What are the quantum commutation relations for the total angular momentum of light? |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10490 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9940000176429749 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3107 |
| primary_topic.subfield.display_name | Atomic and Molecular Physics, and Optics |
| primary_topic.display_name | Orbital Angular Momentum in Optics |
| related_works | https://openalex.org/W2356869148, https://openalex.org/W4234675530, https://openalex.org/W2769690660, https://openalex.org/W4248922453, https://openalex.org/W1555845488, https://openalex.org/W1551964398, https://openalex.org/W2159460290, https://openalex.org/W2034846584, https://openalex.org/W2151817976, https://openalex.org/W4241749948 |
| cited_by_count | 1 |
| counts_by_year[0].year | 2024 |
| counts_by_year[0].cited_by_count | 1 |
| locations_count | 3 |
| best_oa_location.id | pmh:oai:arXiv.org:2403.16266 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2403.16266 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2403.16266 |
| primary_location.id | pmh:oai:arXiv.org:2403.16266 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2403.16266 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2403.16266 |
| publication_date | 2024-03-24 |
| publication_year | 2024 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 13 |
| abstract_inverted_index.An | 58 |
| abstract_inverted_index.as | 18 |
| abstract_inverted_index.in | 12 |
| abstract_inverted_index.is | 64, 81 |
| abstract_inverted_index.of | 4, 15, 50, 61, 79, 98, 102 |
| abstract_inverted_index.on | 94 |
| abstract_inverted_index.to | 91 |
| abstract_inverted_index.we | 39 |
| abstract_inverted_index.Our | 84 |
| abstract_inverted_index.The | 0 |
| abstract_inverted_index.and | 23, 55, 89 |
| abstract_inverted_index.for | 9, 45, 73 |
| abstract_inverted_index.has | 6 |
| abstract_inverted_index.its | 10 |
| abstract_inverted_index.new | 92 |
| abstract_inverted_index.our | 62 |
| abstract_inverted_index.the | 26, 30, 41, 46, 65, 68, 74, 95, 99 |
| abstract_inverted_index.been | 34 |
| abstract_inverted_index.both | 53 |
| abstract_inverted_index.have | 33 |
| abstract_inverted_index.less | 36 |
| abstract_inverted_index.such | 17 |
| abstract_inverted_index.that | 67 |
| abstract_inverted_index.will | 86 |
| abstract_inverted_index.work | 63, 85 |
| abstract_inverted_index.Here, | 38 |
| abstract_inverted_index.leads | 90 |
| abstract_inverted_index.light | 5, 51, 80 |
| abstract_inverted_index.proof | 66 |
| abstract_inverted_index.total | 1, 47, 75 |
| abstract_inverted_index.using | 52 |
| abstract_inverted_index.derive | 40 |
| abstract_inverted_index.forces | 22 |
| abstract_inverted_index.light. | 103 |
| abstract_inverted_index.angular | 2, 48, 77, 100 |
| abstract_inverted_index.correct | 42 |
| abstract_inverted_index.insight | 93 |
| abstract_inverted_index.optical | 19, 21 |
| abstract_inverted_index.outcome | 60 |
| abstract_inverted_index.quantum | 27, 70, 96 |
| abstract_inverted_index.variety | 14 |
| abstract_inverted_index.However, | 25 |
| abstract_inverted_index.behavior | 28, 97 |
| abstract_inverted_index.momentum | 3, 49, 78, 101 |
| abstract_inverted_index.motivate | 87 |
| abstract_inverted_index.received | 7 |
| abstract_inverted_index.relation | 44, 72 |
| abstract_inverted_index.sensing. | 24 |
| abstract_inverted_index.attention | 8 |
| abstract_inverted_index.explored. | 37 |
| abstract_inverted_index.important | 59 |
| abstract_inverted_index.including | 29 |
| abstract_inverted_index.phenomena | 16 |
| abstract_inverted_index.relations | 32 |
| abstract_inverted_index.incorrect. | 83 |
| abstract_inverted_index.observable | 76 |
| abstract_inverted_index.relatively | 35 |
| abstract_inverted_index.application | 11 |
| abstract_inverted_index.approaches. | 57 |
| abstract_inverted_index.commutation | 31, 43, 71 |
| abstract_inverted_index.experiments | 88 |
| abstract_inverted_index.relativistic | 54 |
| abstract_inverted_index.fundamentally | 82 |
| abstract_inverted_index.communication, | 20 |
| abstract_inverted_index.widely-assumed | 69 |
| abstract_inverted_index.non-relativistic | 56 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile |