Clustering theorems with twisted spectra

DOI10.1007/BF01450735zbMath0591.58031MaRDI QIDQ1074934

Alejandro Uribe, Victor W. Guillemin

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164070

zbMATH Keywords

spectrumLaplace operatorclustering theorems

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Scattering off of an instanton, Band asymptotics with nonsmooth potentials, Coherent states, quantum gravity, and the Born- Oppenheimer approximation. II. Compact Lie groups, Inverse spectral problem for the Schrödinger equation with periodic vector potential, The Egorov theorem for transverse Dirac-type operators on foliated manifolds, On a ``Quantum Chaos theorem of R. Schrader and M. Taylor, Inverse Spectral Results on Two-Dimensional Tori, Semiclassical spectra of gauge fields, Circular symmetry and the trace formula, Trace formula for the magnetic Laplacian, Semiclassical asymptotics, gauge fields, and quantum chaos, The geometry of the SU(2) Kepler problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Homogeneous quantization and multiplicities of group representations
• Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
• Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
• Band asymptotics in two dimensions
• Spectral theory on S**2: some open questions
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• A universal phase space for particles in Yang-Mills fields
• Eigenvalues of a Laplacian and commutative Lie subalgebras
• Fourier integral operators. I
• On isospectral periodic potentials in Rn
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Symplectic geometry
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Self-duality in four-dimensional Riemannian geometry
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field