## 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

### Keywords:

pseudo-differential operators; self-intersection