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, 1-10

Abstract:

We consider the special magnetic Laplacian given by . We show that is connected to the sub-Laplacian of a group of Heisenberg type given by realized as a central extension of the real Heisenberg group . We also discuss invariance properties of and give some of their explicit spectral properties.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7575820

DOI: 10.1155/2017/7575820

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