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1.
The simple coherent state of the SPL(2,1) superalgebra is constructed and its properties are discussed in detail. The matrix elements of the SPL(2,1) generators in the coherent state space are calculated. A new form for the homogeneous differential realization of the SPL(2,1) superalgebra is given.  相似文献   

2.
陈永清 《物理学报》1993,42(8):1199-1204
研究了特殊线性李超代数SPL(2,1)在齐次和非齐次多项式空间上的微分实现,以及对应的齐次和非齐次玻色-费密实现。  相似文献   

3.
Using inhomogeneous boson–fermion realization one-parameter indecomposable representation of the SPL(2,1) superalgebra is studied on subspace and quotient spaces of the universal enveloping algebra of Heisenberg-Weyl superalgebra. PACS: 12.60.Jv; 03.65.FdThe author was supported financially by Shenzhen Institute of Information Technology.  相似文献   

4.
One-parameter inhomogeneous differential realization of the SPL(2,1) superalgebra on the space of homogeneous polynomials and the corresponding boson-fermion realization are studied. The parameter α may be related to the interaction parameter U in one exactly solvable model for correlated electrons.  相似文献   

5.
One-parameter homogeneous differential realization of the SPL(2,1) superalgebra on the space of homogeneous polynomials and the corresponding boson–fermion realization are studied. The parameter α may be related to the interaction parameter U in one exactly solvable model for correlated electrons.The author was supported financially by Shenzhen Institute of Information Technology grant No. LG-060109. PACS: 12.60.Jv, 03.65.FD  相似文献   

6.
The simple coherent state of the OSP(2,1) superalgebra is constructed and its properties are discussed in detail. The matrix elements of the OSP(2,1) generators in the coherent state space are calculated. The new form for inhomogeneous differential realization of the OSP(2,1) superalgebra is given.  相似文献   

7.
The supercoherent state of the OSP(2,1) superalgebra is constructed and its properties are discussed in detail. An inhomogeneous differential realization of the OSP(2,1) superalgebra on the supercoherent-state space is given. It may be of use for determining new concrete structure of the quasi-exactly-solvable Hamiltonian corresponding to the OSP(2,1) supersymmetric quantum system.  相似文献   

8.
One-parameter supercoherent state of the gl(2,1) superalgebra is constructed. Its properties are discussed in detail. An arbitrary vector can be expanded in terms of the supercoherent state for the gl(2,1) superalgebra.  相似文献   

9.
One-parameter general coherent state of the gl(2,1) superalgebra is constructed. Its properties are discussed in detail. One-parameter matrix elements of the gl(2,1) generators in the one-parameter general coherent-state space are calculated.  相似文献   

10.
陈永清 《物理学报》2000,49(1):5-10
利用SPL(2,1)的非齐次玻色 费米实现,研究了SPL(2,1)在Heisenberg Weyl超代数的广义包络代数的子空间和商空间上的不可分解表示和不可约表示,并给出了它的全部有限维不可约表示 关键词:  相似文献   

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