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

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dc.creatorMelin, A.
dc.creatorSjoestrand, J.
dc.date2001-11-28
dc.date.accessioned2026-07-07T04:44:49Z
dc.date.available2026-07-07T04:44:49Z
dc.descriptionFor 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.
dc.identifierhttps://arxiv.org/abs/math/0111293
dc.identifierhttp://arxiv.org/abs/math/0111293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62750
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject31C10; 35P05; 37J40; 37K05; 47J20; 58J52
dc.titleBohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
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