Rational invariant tori and band edge spectra for non-selfadjoint operators

DOI10.4171/JEMS/770zbMath1405.35118arXiv1502.06138MaRDI QIDQ1708555

Johannes Sjöstrand, Michael Hitrik

Publication date: 23 March 2018

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06138

zbMATH Keywords

resolventeigenvaluespectral asymptoticssemiclassical limitpseudospectrumFBI transformLagrangian toruscompletely integrableexponential weightnon-selfadjointrational torussecular perturbation theory

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Pseudodifferential and Fourier integral operators on manifolds (58J40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations of PDEs on manifolds; asymptotics (58J37) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (3)

Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets ⋮ Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems

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