Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
(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:
https://lup.lub.lu.se/record/308690
- author
- Melin, Anders LU and Sjostrand, J
- organization
- publishing date
- 2003
- 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
- 2016-04-01 17:12:01
- date last changed
- 2022-01-29 01:01:00
@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}},
keywords = {{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}},
}