Strong and weak semiclassical limits for some rough Hamiltonians

Abstract

We present several results concerning the semiclassical limit of the time dependent Schrödinger equation with potentials whose regularity doesn't guarantee the uniqueness of the underlying classical flow. Different topologies for the limit are considered and the situation where two bicharateristics can be obtained out of the same initial point is emphasized.

References in corpus (1)

• High-frequency propagation for the Schroedinger equation on the torus

Cited by in corpus (4)

• A Renormalization Group Approach to Spontaneous Stochasticity
• Wigner Measure Propagation and Conical Singularity for General Initial Data
• On the selection of the classical limit for potentials with BV derivatives
• Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson