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

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  • Aymane El Fardi
  • Allal Ghanmi
  • Ahmed Intissar

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.

Suggested Citation

  • Aymane El Fardi & Allal Ghanmi & Ahmed Intissar, 2017. "On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-10, August.
    • Handle: RePEc:hin:jnlamp:7575820
    DOI: 10.1155/2017/7575820
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