Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients

DOI10.1007/s11006-006-0146-zzbMath1128.47042OpenAlexW2035640823MaRDI QIDQ881108

S. V. Gal'tsev, Andrej I. Shafarevich

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0146-z

zbMATH Keywords

Schrödinger operatorspectrumRiemann surfacepseudospectrumnon-selfadjoint operatorperiodicity conditionperiodic entire analytic function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05)

Related Items (4)

Unnamed Item ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ On the pseudo-spectra and the related properties of infinite-dimensional Hamiltonian operators ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential

Cites Work

• The limit behavior of the spectrum for large parameter values in a model problem
• Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\)
• Non-selfadjoint singular perturbations and spectral properties of the Orr-Sommerfeld boundary-value problem
• On localization of the spectrum in a problem in singular perturbation theory
• On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile
• Unnamed Item

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