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math.DG2005★ 20 cited
Realization of coherent state Lie algebras by differential operators
Stefan Berceanu
A realization of coherent state Lie algebras by first-order differential operators with holomorphic polynomial coefficients on Kähler coherent state orbits is presented. Explicit f…
math.DG2004★ 3 cited
Linear Hamiltonians on homogeneous Kähler manifolds of coherent states
S. Berceanu, A. Gheorghe
Representations of coherent state Lie algebras on coherent state manifolds as first order differential operators are presented. The explicit expressions of the differential action…
math.DG2004★ 6 cited
Geometrical phases on hermitian symmetric spaces
Stefan Berceanu
For simple Lie groups, the only homogeneous manifolds , where is maximal compact subgroup,for which the phase of the scalar product of two coherent state vectors is twice…