Weighted trace formula near a hyperbolic trajectory and complex orbits

DOI10.1063/1.532482zbMath0934.58030OpenAlexW2034820334MaRDI QIDQ4701633

Alejandro Uribe, Thierry Paul

Publication date: 10 April 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a596d0c95c097a3bfe9f058240a2de0fe122b2ab

zbMATH Keywords

Schrödinger operatorshyperbolic trajectorycomplex orbitsweighted trace formula

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• Quasi-modes sur les variétés Riemanniennes
• On the construction of quasimodes associated with stable periodic orbits
• The semi-classical trace formula and propagation of wave packets
• On the pointwise behavior of semi-classical measures
• Wave-trace invariants
• On the location of the resonances for schrodinger
• Unstable periodic orbits and semiclassical quantisation

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