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A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
Author(s):
Roberto
Paoletti
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4011-4017.
MSC (2000):
Primary 53D12, 53D50;
Secondary 81S10, 81Q20, 81Q70
Posted:
June 2, 2008
MathSciNet review:
2425742
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Additional information
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.
References:
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- [1]
- S. Bates, A. Weinstein, Lectures on the geometry of quantization, Berkeley Mathematics Lecture Notes 8, Amer. Math. Soc., Providence, RI; Berkeley Center for Pure and Applied Math., Berkeley, CA, 1997. MR 1806388 (2002f:53151)
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- M. Debernardi, R. Paoletti, Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds, Comm. Math. Phys. 267 (1) (2006), 227-263. MR 2238910 (2007g:58028)
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MSC (2000):
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MSC (2000):
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Additional Information:
Roberto
Paoletti
Affiliation:
Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via R. Cozzi 53, 20125 Milano, Italy
Email:
roberto.paoletti@unimib.it
DOI:
10.1090/S0002-9939-08-09410-0
PII:
S 0002-9939(08)09410-0
Keywords:
Geometric quantization,
Lagrangian submanifolds,
asymptotics
Received by editor(s):
October 1, 2007
Posted:
June 2, 2008
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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