8 citations · 22 across the 8 of their papers we have counts for
8 papers
Connection matrices and Berry phases on the homogeneous spaces and attached to Jacobi groups
Elena Mirela Babalic, Stefan Berceanu
We analyze the relation between connection matrices and Berry phases on the Siegel-Jacobi disk and Siegel-Jacobi upper half-plane and we explici…
Linear Hamiltonians in generators of the real Jacobi group on the extended Siegel-Jacobi space and equations of motion attached
Elena Mirela Babalic, Stefan Berceanu
Using the energy function on the extended Siegel-Jacobi upper half space of order , , with , the equations of motion in the variables $…
Connection matrices on the Siegel-Jacobi upper half space and extended Siegel-Jacobi upper half space
Elena Mirela Babalic, Stefan Berceanu
The inverse of the metric matrices on the Siegel-Jacobi upper half space , invariant to the restricted real Jacobi group and extended Siege…
Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups
Stefan Berceanu
The relation between the Berry phase and connection matrix on the Siegel-Jacobi disk and Siegel-Jacobi upper half-plane are analyzed. The connect…
Bergman representative coordinates on the Siegel-Jacobi disk
Stefan Berceanu
We underline some differences between the geometric aspect of Berezin's approach to quantization on homogeneous Kähler manifolds and Bergman's construction for bounded domains in $…
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…
Geometry via coherent states
S. Berceanu
It is shown how the coherent states permit to find different geometrical objects as the geodesics, the conjugate locus, the cut locus, the Calabi's diastasis and its domain of defi…
A remark on Berezin's quantization and cut locus
S. Berceanu
The consequences for Berezin's quantization on symmetric spaces of the identity of the set of coherent vectors orthogonal to a fixed one with the cut locus are stated precisely. It…