Stationary scattering in the semi-classical limit for a Schrödinger operator in a gauge field

DOI10.1006/jfan.1999.3416zbMath1052.35059OpenAlexW2095244713MaRDI QIDQ1296774

J. F. Nourrigat, R. G. M. Brummelhuis, Pierre Levy-Bruhl

Publication date: 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3416

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum scattering theory (81U99)

Cites Work

• Semiclassical asymptotics for the spectral function of long-range Schrödinger operators
• Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials
• Classical limits for quantum particles in external Yang-Mills potentials
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
• The classical limit of quantum partition functions
• Absence of singular continuous spectrum for certain self-adjoint operators
• Semiclassical spectra of gauge fields
• Semiclassical asymptotics, gauge fields, and quantum chaos
• The classical limit of quantum spin systems
• Reduction and the trace formula
• Oscillatory integrals, lagrange immersions and unfolding of singularities
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