24 citations · 90 across the 8 of their papers we have counts for
8 papers
On the geometry of Siegel-Jacobi domains
S. Berceanu, A. Gheorghe
We study the holomorphic unitary representations of the Jacobi group based on Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces based on the Siegel-Ja…
On the asymptotic methods for nuclear collective models
A. C. Gheorghe, A. A. Raduta
Contractions of orthogonal groups to Euclidean groups are applied to analytic descriptions of nuclear quantum phase transitions. The semiclassical asymptotic of multipole collectiv…
Applications of the Jacobi group to Quantum Mechanics
S. Berceanu, A. Gheorghe
Infinitesimal holomorphic realizations for the Schrödinger-Weil representation and the discrete series representations of the Jacobi group are constructed. Explicit expressions of…
A solvable model which has X(5) as a limiting symmetry and removes some inherent drawbacks
A. A. Raduta, A. C. Gheorghe, P. Buganu +1
Solvable Hamiltonians for the and intrinsic shape coordinates are proposed. The eigenfunctions of the Hamiltonian are spheroidal periodic functions, while the Hamiltoni…
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…
Remarcs on the shape transition from spherical to deformed gamma unstable nuclei
A. A. Raduta, A. C. Gheorghe, Amand Faessler
Energies and transition probabilities for low lying states in Ba and $^{104$Ru were calculated within a hybrid model.The ground and the first states are described alt…