On the factorization method for the quantum statistical description of dynamics of an isolated spin system.
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| Title: | On the factorization method for the quantum statistical description of dynamics of an isolated spin system. |
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| Authors: | Samokhin, A. A.1 (AUTHOR), Zyl, A. V.2,3 (AUTHOR) zyl.av@phystech.edu, Zamarashkin, N. L.2 (AUTHOR) |
| Source: | Theoretical & Mathematical Physics. Mar2024, Vol. 218 Issue 3, p452-463. 12p. |
| Subjects: | Factorization, Particle spin, Quantum mechanics, Dipole-dipole interactions, Magnetic fields |
| Abstract: | We study the applicability of the formula that factors the trace of the diagonal part of spin operator products in the case of a relatively small number of particles of an isolated spin system. The validity of this formula for a large number of particles follows from the basic principles of quantum statistical mechanics. The spin system under consideration includes dipole–dipole interaction and the Zeeman interaction with an external magnetic field. We establish that the accuracy of this formula monotonically increases as the magnetic field increases. At the same time, the dependence on the number of particles in the range for various configurations turns out to be sharply nonmonotone. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical & Mathematical Physics 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: 176221328 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the factorization method for the quantum statistical description of dynamics of an isolated spin system. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Samokhin%2C+A%2E+A%2E%22">Samokhin, A. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zyl%2C+A%2E+V%2E%22">Zyl, A. V.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> zyl.av@phystech.edu</i><br /><searchLink fieldCode="AR" term="%22Zamarashkin%2C+N%2E+L%2E%22">Zamarashkin, N. L.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Mathematical+Physics%22">Theoretical & Mathematical Physics</searchLink>. Mar2024, Vol. 218 Issue 3, p452-463. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Factorization%22">Factorization</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+spin%22">Particle spin</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+mechanics%22">Quantum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Dipole-dipole+interactions%22">Dipole-dipole interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We study the applicability of the formula that factors the trace of the diagonal part of spin operator products in the case of a relatively small number of particles of an isolated spin system. The validity of this formula for a large number of particles follows from the basic principles of quantum statistical mechanics. The spin system under consideration includes dipole–dipole interaction and the Zeeman interaction with an external magnetic field. We establish that the accuracy of this formula monotonically increases as the magnetic field increases. At the same time, the dependence on the number of particles in the range for various configurations turns out to be sharply nonmonotone. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical & Mathematical Physics 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=176221328 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0040577924030061 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 452 Subjects: – SubjectFull: Factorization Type: general – SubjectFull: Particle spin Type: general – SubjectFull: Quantum mechanics Type: general – SubjectFull: Dipole-dipole interactions Type: general – SubjectFull: Magnetic fields Type: general Titles: – TitleFull: On the factorization method for the quantum statistical description of dynamics of an isolated spin system. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Samokhin, A. A. – PersonEntity: Name: NameFull: Zyl, A. V. – PersonEntity: Name: NameFull: Zamarashkin, N. L. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00405779 Numbering: – Type: volume Value: 218 – Type: issue Value: 3 Titles: – TitleFull: Theoretical & Mathematical Physics Type: main |
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