4.4 Article

On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators

期刊

JOURNAL OF MATHEMATICAL PHYSICS
卷 61, 期 5, 页码 -

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AIP Publishing
DOI: 10.1063/1.5115576

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资金

  1. Project QUACO [PRC ANR-17-CE40-0007-01]
  2. Fondation Sciences Mathematiques de Paris (FSMP)
  3. CARTT - IUT de Toulon

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Motivated by recent controllability results for the bilinear Schrodinger equation based on the existence of conical intersections, in this paper we identify two physically interesting families of parameter-dependent Hamiltonians that admit residual and prevalent subfamilies for which all double eigenvalues are conical. In order to obtain such a result, we exploit a characterization of conical intersections in terms of a transversality condition which allows us to apply a suitable transversality theorem.

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