A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds

Paoletti, Roberto

doi:10.1090/S0002-9939-08-09410-0

A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
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Proc. Amer. Math. Soc. 136 (2008), 4011-4017 Request permission

Abstract:

This paper deals with the asymptotic expansions describing the quantum states associated to Bohr Sommerfeld Lagrangian submanifolds of a compact Kähler manifold, in the context of geometric quantization. More precisely, it provides an improvement on a result of the work of Debernardi and the author (2006), describing a natural factorization of the expansion and providing certain remainder estimates.

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