Coherent State Representations of Lie Superalgebra SU(2/1) |
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Authors: | Le-Man KUANG Gao-Jian ZENG |
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Institution: | Department of Physics, Hunan Normal University, Changsha 410006, China |
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Abstract: | We present a kind of new coherent states associated with the Lie superalgebra SU(2/1), and discuss their properties in detail. We also evaluate the matrix elements of the SU(2/1) generators in the coherent state representations and obtain differential realizations of the SU(2/1) algebra in the coherent state space. The differential realizations may be useful for the study of the quasi-exactly solvable problems in the quantum mechanics. |
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