We obtain a new family of coherent state representations of SU(n+1), in which the coherent states are Wigner functions over a subgroup of SU(n+1). For representations of SU(n+1) of the type (λ, 0, 0,…), the basis functions are simple products of n exponential. The corresponding coherent state representations of the algebra su(n+1) are also obtained, and provide a polar decomposition of su(n+1) for any n+1. The su(n+1) modules thus obtained are useful in understanding contractions of su(n+1) and su(n+1)-phase states of quantum optics.
Coherent state realizations of su(n+1) on the n-torus / de Guise, H.; Bertola, M.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 43:7(2002), pp. 3425-3444. [10.1063/1.1479301]
Coherent state realizations of su(n+1) on the n-torus
Bertola, M.
2002-01-01
Abstract
We obtain a new family of coherent state representations of SU(n+1), in which the coherent states are Wigner functions over a subgroup of SU(n+1). For representations of SU(n+1) of the type (λ, 0, 0,…), the basis functions are simple products of n exponential. The corresponding coherent state representations of the algebra su(n+1) are also obtained, and provide a polar decomposition of su(n+1) for any n+1. The su(n+1) modules thus obtained are useful in understanding contractions of su(n+1) and su(n+1)-phase states of quantum optics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
