On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group

We consider the special magnetic Laplacian given by Δν,μ=4∑j=1n∂2/∂zj∂zj¯+2iνE+E¯+n+2μE-E¯-ν2+μ2z2. We show that Δν,μ is connected to the sub-Laplacian of a group of Heisenberg type given by C ×ω Cn realized as a central extension of the real Heisenberg group H2n+1. We also discuss invariance proper...

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Bibliographic Details
Main Authors: Aymane El Fardi, Allal Ghanmi, Ahmed Intissar
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/7575820
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