Constructs a Birkhoff normal form for magnetic Schrödinger operators to obtain h^{1/2} eigenvalue expansions and semiclassical Weyl asymptotics on even-dimensional manifolds.
Zworski, Semiclassical Analysis, Graduate Studies in Mathematics 138, 2012
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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.