A new one-parameter inhomogeneous differential realization of the \(\mathrm{spl}(2,1)\) superalgebra

DOI10.1007/s10773-012-1261-0zbMath1260.81124OpenAlexW1970736631MaRDI QIDQ1936392

Yong-Qing Chen

Publication date: 4 February 2013

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-012-1261-0

zbMATH Keywords

exactly solvable modelinhomogeneous differential realizationsupercoherent state\(\mathrm{spl}(2,1)\) superalgebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Exactly and quasi-solvable systems arising in quantum theory (81U15) Coherent states (81R30) Superalgebras (17A70) Special quantum systems, such as solvable systems (81Q80)

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Cites Work

• One-parameter coherent state representation of the \(\mathrm{spl}(2,1)\) superalgebra
• On one-parameter supercoherent state of \(\mathrm{spl}(2,1)\) superalgebra
• One-parameter irreducible representation of spl\((2,1)\) superalgebra
• One-parameter inhomogeneous differential realization and Boson-Fermion realization of the \(\text{SPL}(2,1)\) superalgebra
• A supercoherent state and a new inhomogeneous differential realization of the \(\text{spl}(2,1)\) superalgebra
• Supercoherent-state representation of the OSP(2,1) superalgebra

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