Issue |
EPL
Volume 145, Number 5, March 2024
|
|
---|---|---|
Article Number | 50002 | |
Number of page(s) | 7 | |
Section | General physics | |
DOI | https://doi.org/10.1209/0295-5075/ad2ba2 | |
Published online | 19 March 2024 |
Remarks on the
Duffin-Kemmer-Petiau oscillator in an external magnetic field
1 Universidad Tecnológica del Perú (UTP) - Los Olivos, Lima, Peru
2 Universidade Federal do Maranhão (UFMA) - São Luís, MA, Brazil
3 Universidad Privada del Norte (UPN) - Los Olivos, Lima, Peru
4 Universidade Estadual Paulista (UNESP) - Guaratinguetá, SP, Brazil
Received: 12 October 2023
Accepted: 21 February 2024
This work re-examines the issue of spin-1 particles in a (2+1)-dimensional Duffin-Kemmer-Petiau oscillator (DKPO) in the presence of an external magnetic field. By following the appropriate procedure for the spin-1 sector of the Duffin-Kemmer-Petiau (DKP) theory, the previously used 6 × 6 representation in the literature is shown to be reducible to a 3 × 3 irreducible representation. This approach enabled us to find new aspects of the results recently disseminated in various studies, as well as other considerations overlooked and requiring revision. Finally, we present some applications of two-dimensional DKP theory in condensed-matter systems, particularly in Lieb lattices.
© 2024 EPLA
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