64 citations · 121 across the 23 of their papers we have counts for
26 papers
The semiclassical structure of the scattering matrix for a manifold with infinite cylindrical end
T. J. Christiansen, A. Uribe
We study the microlocal properties of the scattering matrix associated to the semiclassical Schrödinger operator on a Riemannian manifold with an infinite cylindrical…
Integral representations of isotropic semi-classical functions and applications
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
In \cite{GUW} we introduced a class of "semi-classical functions of isotropic type", starting with a model case and applying Fourier integral operators associated with canonical tr…
Reduction and Coherent States
Jenia Rousseva, Alejandro Uribe
We apply a quantum version of dimensional reduction to Gaussian coherent states in Bargmann space to obtain squeezed states on complex projective spaces. This leads to a definition…
On the pseudospectra of Schrödinger operators on Zoll manifolds
David Sher, Alejandro Uribe, Carlos Villegas-Blas
We consider non-self-adjoint Schrödinger operators where is the Laplace-Beltrami operator on a Zoll manifold and . We obtain asymptotic re…
Szegö Limit Theorems for Singular Berezin-Toeplitz Operators
Salvador Pérez-Esteva, Alejandro Uribe
We consider Berezin-Toeplitz operators whose multipliers are compactly supported densities carried by a submanifold of . We compute asymptotically the moments of th…
Spectral properties of semi-classical Toeplitz operators
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
The main results of this paper are an asymptotic expansion in powers of for the spectral measure of a semi-classical Toeplitz operator, , and an equivari…