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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/7575820 |
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| _version_ | 1849409938058641408 |
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| author | Aymane El Fardi Allal Ghanmi Ahmed Intissar |
| author_facet | Aymane El Fardi Allal Ghanmi Ahmed Intissar |
| author_sort | Aymane El Fardi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-800b79451a41485c8bde3e406c5a7ea2 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-800b79451a41485c8bde3e406c5a7ea22025-08-20T03:35:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/75758207575820On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg GroupAymane El Fardi0Allal Ghanmi1Ahmed Intissar2Center of Mathematical Research and Applications of Rabat (CeReMAR), Analysis and Spectral Geometry (AGS), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, MoroccoCenter of Mathematical Research and Applications of Rabat (CeReMAR), Analysis and Spectral Geometry (AGS), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, MoroccoCenter of Mathematical Research and Applications of Rabat (CeReMAR), Analysis and Spectral Geometry (AGS), Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, MoroccoWe 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.http://dx.doi.org/10.1155/2017/7575820 |
| spellingShingle | Aymane El Fardi Allal Ghanmi Ahmed Intissar On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group Advances in Mathematical Physics |
| title | On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group |
| title_full | On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group |
| title_fullStr | On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group |
| title_full_unstemmed | On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group |
| title_short | On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group |
| title_sort | on concrete spectral properties of a twisted laplacian associated with a central extension of the real heisenberg group |
| url | http://dx.doi.org/10.1155/2017/7575820 |
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