On the factorization method for the quantum statistical description of dynamics of an isolated spin system.
Saved in:
| Title: | On the factorization method for the quantum statistical description of dynamics of an isolated spin system. |
|---|---|
| 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 |
|
Full text is not displayed to guests.
Login for full access.
|
|
| 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] |
|---|---|
| ISSN: | 00405779 |
| DOI: | 10.1134/S0040577924030061 |
