Abstract
In this paper we analyze the evolution of the time averaged energy densities associatedwith a family of solutions to a Schrödinger equation on a Lie group ofHeisenberg type. We use a semi-classical approach adapted to the stratified structure of the group and describe the semi-classical measures (also called quantum limits) that are associated with this family. This allows us to prove an Egorov's type Theorem describing the quantum evolution of a pseudodifferential semi-classical operator through the semi-group generated by a sub-Laplacian.
| Original language | English |
|---|---|
| Pages (from-to) | 1313-1367 |
| Number of pages | 1 |
| Journal | Journal of Spectral Theory |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 25 Sept 2021 |
Keywords
- Abstract harmonic analysis
- Analysis on nilpotent Lie groups
- C -algebra theory
- Evolution of solutions to the Schrodinger 7equation
- Semi-classical analysis for sub-elliptic operators
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Geometry and Topology
