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Normal form for a two level Hamiltonian near a branching point (semi-classical limit). (Forme normale d’un hamiltonien à deux niveaux près d’un point de branchement (limite semi-classique).) (French. Abridged English version) Zbl 0797.58083

Summary: We give a canonical form for formally self-adjoint \(h\)-pseudo- differential operators on \(L^ 2(\mathbb{R}) \otimes \mathbb{C}^ 2\) near a point of self-intersection of the characteristic variety.

MSC:

58J40 Pseudodifferential and Fourier integral operators on manifolds
47G30 Pseudodifferential operators
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