Constructs a Birkhoff normal form for magnetic Schrödinger operators to obtain h^{1/2} eigenvalue expansions and semiclassical Weyl asymptotics on even-dimensional manifolds.
Sjöstrand, Semi-excited states in nondegenerate potential wells , Asymptotic Analysis 6 (1992), 29-43
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A semiclassical Birkhoff normal form for symplectic magnetic wells
Constructs a Birkhoff normal form for magnetic Schrödinger operators to obtain h^{1/2} eigenvalue expansions and semiclassical Weyl asymptotics on even-dimensional manifolds.