On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group
Joint Authors
El Fardi, Aymane
Intissar, Ahmed
Ghanmi, Allal
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 properties of Δν,μ and give some of their explicit spectral properties.
American Psychological Association (APA)
El Fardi, Aymane& Ghanmi, Allal& Intissar, Ahmed. 2017. On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1123298
Modern Language Association (MLA)
El Fardi, Aymane…[et al.]. On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group. Advances in Mathematical Physics No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1123298
American Medical Association (AMA)
El Fardi, Aymane& Ghanmi, Allal& Intissar, Ahmed. On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1123298
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123298
