Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2003
Språk
Engelska
Sidor
181-244
Publikation/Tidskrift/Serie
Astérisque
Volym
284
Dokumenttyp
Artikel i tidskrift
Förlag
SMF
Ämne
- Mathematics
Nyckelord
- Bohr
- Sommerfeld
- eigenvalue
- Cauchy-Riemann equation
- torus
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0303-1179