Abstract
The goal of this text is to motivate for an effective version of the quantum Birkhoff normal form, which gives precise spectral asymptotics even in the presence of resonances, in the semiclassical limit. Microlocal analysis, via pseudo-differential operators and Toeplitz operators is used in order to achieve this.
Information
Published: 1 January 2009
First available in Project Euclid: 28 November 2018
zbMATH: 1185.58012
MathSciNet: MR2463493
Digital Object Identifier: 10.2969/aspm/05510099
Subjects:
Primary:
47B35
,
53D20
,
58J40
,
58J50
,
58K50
,
81S10
Keywords:
Birkhoff normal form
,
eigenvalue cluster
,
pseudo-differential operators
,
resonances
,
Spectral asymptotics
,
symplectic reduction
,
Toeplitz operators
Rights: Copyright © 2009 Mathematical Society of Japan
