Abstract
Does a semiclassical particle remember the phase space topology? We discuss this question in the context of the Berezin–Toeplitz quantization and quantum measurement theory by using tools of topological data analysis. One of its facets involves a calculus of Toeplitz operators with piecewise-constant symbols developed in an appendix by Laurent Charles.
| Original language | English |
|---|---|
| Pages (from-to) | 61-82 |
| Number of pages | 22 |
| Journal | Journal of Applied and Computational Topology |
| Volume | 2 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Oct 2018 |
Keywords
- Barcode
- Berezin-Toeplitz quantization
- Persistent homology
- Quantum measurement
ASJC Scopus subject areas
- Geometry and Topology
- Computational Mathematics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Inferring topology of quantum phase space: With an appendix by Laurent Charles'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver