The Maslov complex germ and semiclassical spectral series corresponding to singular invariant curves of partially integrable Hamiltonian systems

DOI10.1134/S1560354718070031zbMath1461.35176OpenAlexW2911340832WikidataQ128491118 ScholiaQ128491118MaRDI QIDQ1739568

Andrej I. Shafarevich

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718070031

zbMATH Keywords

holonomy groupMaslov complex germcomplex vector bundlessemiclassical eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Lagrangian submanifolds; Maslov index (53D12) Classification; finite determinacy of map germs (58K40)

Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the construction of quasimodes associated with stable periodic orbits
• Singular Bohr-Sommerfeld rules.
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