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

Kaïdi, Noureddine; Rouleux, Michel

C. R. Acad. Sci., Paris, Sér. I 317, No. 4, 359-364 (1993).

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