Search Results - "Berceanu, Stefan"

Hamiltonian systems on almost cosymplectic manifolds by Berceanu, Stefan

“…We determine the Hamiltonian vector field on an odd dimensional manifold endowed with almost cosymplectic structure. This is a generalization of the…”
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Invariant metric on the extended Siegel–Jacobi upper half space by Berceanu, Stefan

“…The real Jacobi group GnJ(R), defined as the semidirect product of the Heisenberg group Hn(R) with the symplectic group Sp(n,R), admits a matrix embedding in…”
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The Real Jacobi Group Revisited by Berceanu, Stefan

“…The real Jacobi group $G^J_1(\mathbb{R})$, defined as the semi-direct product of the group ${\rm SL}(2,\mathbb{R})$ with the Heisenberg group $H_1$, is…”
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Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball by Berceanu, Stefan

“…We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the…”
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Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups by Berceanu, Stefan

“…The relation between the Berry phase and connection matrix on the Siegel-Jacobi disk $\mathcal{D}^J_1$ and Siegel-Jacobi upper half-plane$\mathcal{X}^J_1$ are…”
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Hamiltonian systems on almost cosymplectic manifolds by Berceanu, Stefan

“…We determine the Hamiltonian vector field on an odd dimensional manifold endowed with almost cosymplectic structure. This is a generalization of the…”
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Geodesics on the extended Siegel-Jacobi upper half-plane by Berceanu, Stefan

“…The semidirect product of the real Heisenberg group ${\rm H}_1(\mathbb{R})$ with ${\rm SL}(2,\mathbb{R})$, called the real Jacobi group $G^J_1(\mathbb{R})$,…”
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Invariant metric on the extended Siegel-Jacobi upper half space by Berceanu, Stefan

“…J.Geom.Phys 162 (2021) 104049, 20 pages The real Jacobi group $G^J_n(\mathbb{R})$, defined as the semidirect product of the Heisenberg group ${\rm H}_n(\R)$…”
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Connection matrices on the Siegel-Jacobi upper half space and extended Siegel-Jacobi upper half space by Babalic, Elena Mirela, Berceanu, Stefan

“…The inverse of the metric matrices on the Siegel-Jacobi upper half space ${\mathcal{X}}^J_n$, invariant to the restricted real Jacobi group…”
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The Real Jacobi Group Revisited by Berceanu, Stefan

“…SIGMA 15 (2019), 096, 50 pages The real Jacobi group $G^J_1(\mathbb{R})$, defined as the semi-direct product of the group ${\rm SL}(2,\mathbb{R})$ with the…”
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Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball by Berceanu, Stefan

“…SIGMA 12 (2016), 064, 28 pages We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the…”
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Geodesics associated to the balanced metric on the Siegel-Jacobi ball by Berceanu, Stefan

“…We determine the Christoffel's symbols for the Siegel-Jacobi ball endowed with the balanced metric. We study the equations of geodesics on the Siegel-Jacobi…”
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Remarks on the geometry of the extended Siegel--Jacobi upper half-plane by Babalic, Elena Mirela, Berceanu, Stefan

“…The real Jacobi group $G^J_1(\mathbb{R})={\rm SL}(2,\mathbb{R})\ltimes {\rm H}_1$, where ${\rm H}_1$ denotes the 3-dimensional Heisenberg group, is…”
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Bergman representative coordinates on the Siegel-Jacobi disk by Berceanu, Stefan

“…We underline some differences between the geometric aspect of Berezin's approach to quantization on homogeneous K\"ahler manifolds and Bergman's construction…”
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Wei-Norman and Berezin's equations of motion on the Siegel-Jacobi disk by Berceanu, Stefan

“…We show that the Wei-Norman method applied to describe the evolution on the Siegel-Jacobi disk $\mathcal{D}^J_1=\mathcal{D}_1\times\mathbb{C}^1$, where…”
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Coherent states and geometry on the Siegel-Jacobi disk by Berceanu, Stefan

“…Int. J. Geom. Methods Mod. Phys.Vol. 11 (2014) 1450035 (25 pages) The coherent state representation of the Jacobi group $G^J_1$ is indexed with two parameters,…”
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A convenient coordinatization of Siegel-Jacobi domains by Berceanu, Stefan

“…Rev. Math. Phys. Vol. 24, No. 9 (2012) 1250024 We determine the homogeneous K\"ahler diffeomorphism $FC$ which expresses the K\"ahler two-form on the…”
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Consequences of the fundamental conjecture for the motion on the Siegel-Jacobi disk by Berceanu, Stefan

“…We find the homogenous K\"ahler isomorphism $FC$ which expresses the K\"ahler two-form on the Siegel-Jacobi domain…”
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A remark on Berezin's quantization and cut locus by Berceanu, Stefan

“…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…”
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The Jacobi group and the squeezed states - some comments by Berceanu, Stefan

“…The generalized coherent states attached to the Jacobi group realize the squeezed states. Imposing hermitian conjugacy to the generators of the Jacobi algebra,…”
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