Semiclassical spectra of gauge fields

DOI10.1016/0022-1236(92)90041-GzbMath0772.58066OpenAlexW2001893046MaRDI QIDQ1803329

Alejandro Uribe, Michael E. Taylor

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90041-g

zbMATH Keywords

eigenvaluesSchrödinger operatorFourier analysisoperators of real principal typeradialityWong's flow

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Yang-Mills and other gauge theories in quantum field theory (81T13) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (7)

Band Asymptotics for Operators of Dirac Type onSⁿ ⋮ Coherent states, quantum gravity, and the Born- Oppenheimer approximation. II. Compact Lie groups ⋮ Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions ⋮ Quantum limits of sub-Laplacians via joint spectral calculus ⋮ Semi-classical mass asymptotics on stationary spacetimes ⋮ Semiclassical spectral estimates for Toeplitz operators ⋮ Stationary scattering in the semi-classical limit for a Schrödinger operator in a gauge field

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