#semiclassical analysis
4 papers · 1 filter
Lindbladian quantization of mechanical systems with nonholonomic constraints
Daniel Schubring, Sriram Ganeshan
The paper develops a method to quantize mechanical systems with nonholonomic (velocity) constraints by modeling them as Markovian open quantum systems using Lindblad dynamics, and…
Semiclassical estimates near threshold energies and resonance counting on Schwarzschild black holes
Thomas Stucker
The paper establishes a Weyl law for the count of quasinormal modes of a Schwarzschild black hole by developing a new semiclassical pseudodifferential calculus near threshold energ…
Semiclassical measures through Coulomb collisions
Nicholas Lohr
The paper characterizes semiclassical measures arising from eigenfunctions of the attractive Coulomb operator as probability measures on the energy surface that are invariant under…
Uniform controllability for the wave equation with large potential
Arthur Yax
The paper studies how the cost of controlling a wave equation on a compact Riemannian manifold depends on a large, time‑independent potential, introducing a modified geometric cont…