Remarks on semiclassical wavefront set
Kentaro Kameoka

TL;DR
This paper explores the properties of semiclassical wavefront sets, linking the support of pseudodifferential operator symbols to these sets using coherent states dependent on Planck's constant.
Contribution
It provides a characterization of the essential support of symbols of semiclassical pseudodifferential operators via semiclassical wavefront sets, employing a novel proof technique.
Findings
Characterization of symbol support using wavefront sets
Use of phase space-dependent coherent states in proofs
Enhanced understanding of semiclassical pseudodifferential operators
Abstract
The essential support of the symbol of a semiclassical pseudodifferentail operator is characterized by semiclassical wavefront sets of distributions. The proof employs a coherent state whose center in phase space is dependent on Planck's constant.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · advanced mathematical theories · Mathematical Analysis and Transform Methods
