THE LEVEL CROSSING PROBLEM IN SEMI-CLASSICAL ANALYSIS II. The Hermitian case
نویسنده
چکیده
Introduction This paper ( 2 ) is the second part of [2]. We want to study microlocally the solutions of a self-adjoint system of semi-classical pseudo-differential operators using normal forms. In our paper [2], we studied the case where the principal symbol (called the dispersion matrix) is a real symmetric matrix. We will consider here the case where the dispersion matrix Hclass is complex Hermitian. There are several cases to consider depending on the rank of the restriction of the symplectic form to the codimension 4 singular manifold Σ:
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تاریخ انتشار 2003