41 citations · 94 across the 22 of their papers we have counts for
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math.SP2006
Spectral asymptotics via the semiclassical Birkhoff normal form
Laurent Charles, San Vu Ngoc
This article gives a simple treatment of the quantum Birkhoff normal form for semiclassical pseudo-differential operators with smooth coefficients. The normal form is applied to de…
math.SG2006★ 19 cited
Semi-classical properties of geometric quantization with metaplectic correction
L. Charles
The geometric quantization of a symplectic manifold endowed with a prequantum bundle and a metaplectic structure is defined by means of an integrable complex structure. We prove th…
math.SG2006★ 3 cited
Symbolic calculus for Toeplitz operators with half-forms
L. Charles
This paper is devoted to the use of half-form bundles in the symbolic calculus of Berezin-Toeplitz operators on Kahler manifolds. We state the Bohr-Sommerfeld conditions and relate…