Inferring topology of quantum phase space: With an appendix by Laurent Charles

Leonid Polterovich

doi:10.1007/s41468-018-0018-0

Inferring topology of quantum phase space: With an appendix by Laurent Charles

Leonid Polterovich

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1007/s41468-018-0018-0
State	Published - Oct 2018

Keywords

Barcode
Berezin-Toeplitz quantization
Persistent homology
Quantum measurement

All Science Journal Classification (ASJC) codes

Geometry and Topology
Computational Mathematics
Applied Mathematics

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10.1007/s41468-018-0018-0

Cite this

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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.",

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year = "2018",

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doi = "10.1007/s41468-018-0018-0",

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Inferring topology of quantum phase space: With an appendix by Laurent Charles

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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