Generalized spin coherent states: construction and some physical properties. (English) Zbl 1218.81063
A generalized deformation of the \(su(2)\) algebra and a scheme for constructing associated spin coherent states is developed. The problem of resolving the unity operator in terms of these states is addressed and solved for some particular cases. The construction is carried using a deformation of Holstein-Primakoff realization of the \(su(2)\) algebra. The physical properties of these states are studied through the calculation of Mandel’s parameter.
Reviewer: Rainer Klages (London)
MSC:
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 81R30 | Coherent states |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
Keywords:
spin coherent states; quantum groups; generalized \(su(2)\) algebra; Mandel’s parameter; entanglementReferences:
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