One-parameter general coherent state of the \(\mathrm{gl}(2,1)\) superalgebra. (English) Zbl 1269.81225
Summary: One-parameter general coherent state of the \(\mathrm{gl}(2,1)\) superalgebra is constructed. Its properties are discussed in detail. One-parameter matrix elements of the \(\mathrm{gl}(2,1)\) generators in the one-parameter general coherent-state space are calculated.
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 81Q60 | Supersymmetry and quantum mechanics |
| 81R30 | Coherent states |
| 17A70 | Superalgebras |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
References:
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