3 citations · 3 across the 2 of their papers we have counts for
4 papers
Some inverse spectral results for semi-classical Schrödinger operators
V. Guillemin, A. Uribe
We consider a semi-classical Schrödinger operator, -h^2Δ+ V(x). Assuming that the potential admits a unique global minimum and that the eigenvalues of the Hessian are linearly inde…
The semiclassical structure of low-energy states in the presence of a magnetic field
David Borthwick, Alejandro Uribe
We consider a compact Riemannian manifold with a Hermitian line bundle whose curvature is non-degenerate. The Laplacian acting on high tensor powers (the semiclassical regime) of t…
The spectral density function for the Laplacian on high tensor powers of a line bundle
David Borthwick, Alejandro Uribe
For a symplectic manifold with quantizing line bundle, a choice of almost complex structure determines a Laplacian acting on tensor powers of the bundle. For high tensor powers Gui…
Nearly Kahlerian Embeddings of Symplectic Manifolds
David Borthwick, Alejandro Uribe
Given an integral symplectic manifold, we construct a family of "coherent state" maps into complex projective space. The maps are built from sections of the tensor powers of a herm…