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Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2

Melin, Anders LU and Sjostrand, J (2003) In Astérisque 284. p.181-244
Abstract
For a class of non-selfadjoint h-pseudodifferential operators in dimension 2, we determine all eigenvalues in an h-independent domain in the complex plane and show that they are given by a Bohr-Sommerfeld quantization condition. No complete integrability is assumed, and as a geometrical step in our proof, we get a KAM-type theorem (without small divisors) in the complex domain.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bohr, Sommerfeld, eigenvalue, Cauchy-Riemann equation, torus
in
Astérisque
volume
284
pages
181 - 244
publisher
SMF
external identifiers
  • wos:000183616900006
  • scopus:0344361141
ISSN
0303-1179
language
English
LU publication?
yes
id
2aa90323-687d-4f89-9453-969e96eb4ddd (old id 308690)
date added to LUP
2007-09-18 12:12:03
date last changed
2018-08-05 04:15:45
@article{2aa90323-687d-4f89-9453-969e96eb4ddd,
  abstract     = {For a class of non-selfadjoint h-pseudodifferential operators in dimension 2, we determine all eigenvalues in an h-independent domain in the complex plane and show that they are given by a Bohr-Sommerfeld quantization condition. No complete integrability is assumed, and as a geometrical step in our proof, we get a KAM-type theorem (without small divisors) in the complex domain.},
  author       = {Melin, Anders and Sjostrand, J},
  issn         = {0303-1179},
  keyword      = {Bohr,Sommerfeld,eigenvalue,Cauchy-Riemann equation,torus},
  language     = {eng},
  pages        = {181--244},
  publisher    = {SMF},
  series       = {Astérisque},
  title        = {Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2},
  volume       = {284},
  year         = {2003},
}