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

Aymane El Fardi, Allal Ghanmi and Ahmed Intissar

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We consider the special magnetic Laplacian given by Δν,μ=422∑j=1n ∂2/∂zj∂zj¯+iνE+E¯+n+μE-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 properties of Δν,μ and give some of their explicit spectral properties.

Date: 2017
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https://doi.org/10.1155/2017/7575820

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:7575820

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