Infinitesimal generators and quantum operators in de Sitter space.
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| Title: | Infinitesimal generators and quantum operators in de Sitter space. |
|---|---|
| Authors: | Rabeie, A.1 (AUTHOR) rabeie@razi.ac.ir |
| Source: | European Physical Journal C -- Particles & Fields. Jun2025, Vol. 85 Issue 6, p1-9. 9p. |
| Subjects: | Quantum operators, Coherent states, Quantum mechanics, Generators of groups, Equations |
| Abstract: | The 1 + 3-de Sitter space, as a solution of Einstein's equations, provides a framework for investigating various physical concepts, including quantum mechanics. In this context, the group Sp(2,2) plays a crucial role as the universal covering of the de Sitter space, contributing significantly to the understanding of associated quantum mechanics. In this study, the presentation of infinitesimal generators of the group Sp(2,2) and quantum operators on the de Sitter space is conducted using the coherent states quantization method, also known as Berezin's quantization method. This approach allows for a systematic examination of the generators and operators within the quantum framework. Furthermore, the exploration of these generators and operators is facilitated by the unitary representation of the principal series of the group Sp(2,2), offering insights into the underlying quantum mechanics principles governing the de Sitter space. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 186711247 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Infinitesimal generators and quantum operators in de Sitter space. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Rabeie%2C+A%2E%22">Rabeie, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rabeie@razi.ac.ir</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2025, Vol. 85 Issue 6, p1-9. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+operators%22">Quantum operators</searchLink><br /><searchLink fieldCode="DE" term="%22Coherent+states%22">Coherent states</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+mechanics%22">Quantum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Generators+of+groups%22">Generators of groups</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The 1 + 3-de Sitter space, as a solution of Einstein's equations, provides a framework for investigating various physical concepts, including quantum mechanics. In this context, the group Sp(2,2) plays a crucial role as the universal covering of the de Sitter space, contributing significantly to the understanding of associated quantum mechanics. In this study, the presentation of infinitesimal generators of the group Sp(2,2) and quantum operators on the de Sitter space is conducted using the coherent states quantization method, also known as Berezin's quantization method. This approach allows for a systematic examination of the generators and operators within the quantum framework. Furthermore, the exploration of these generators and operators is facilitated by the unitary representation of the principal series of the group Sp(2,2), offering insights into the underlying quantum mechanics principles governing the de Sitter space. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=186711247 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjc/s10052-025-14355-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1 Subjects: – SubjectFull: Quantum operators Type: general – SubjectFull: Coherent states Type: general – SubjectFull: Quantum mechanics Type: general – SubjectFull: Generators of groups Type: general – SubjectFull: Equations Type: general Titles: – TitleFull: Infinitesimal generators and quantum operators in de Sitter space. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Rabeie, A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 14346044 Numbering: – Type: volume Value: 85 – Type: issue Value: 6 Titles: – TitleFull: European Physical Journal C -- Particles & Fields Type: main |
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