We perform a general reduction scheme that can be applied in particular to the spectral study of operators of the type as tends to zero. This scheme permits to reduce the study of to the one of a semiclassical matrix operator of the type . Here, for any fixed , the eigenvalues of the principal symbol of are eigenvalues of the operator .
Cite this article
André Martinez, A general effective Hamiltonian method. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 3, pp. 269–277DOI 10.4171/RLM/494