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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 
 

 

Sharp correspondence principle and quantum measurements


Authors: L. Charles and L. Polterovich
Original publication: Algebra i Analiz, tom 29 (2017), nomer 1.
Journal: St. Petersburg Math. J. 29 (2018), 177-207
MSC (2010): Primary 53D20
DOI: https://doi.org/10.1090/spmj/1488
Published electronically: December 27, 2017
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Abstract: We prove sharp remainder bounds for the Berezin-Toeplitz quantization and present applications to semiclassical quantum measurements.


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Additional Information

L. Charles
Affiliation: UMR 7586, Institut de Mathématiques de Jussieu-Paris Rive Gauche Sorbonne Universités, UPMC Univ Paris 06 F-75005, Paris France
Email: laurent.charles@imj-prg.fr

L. Polterovich
Affiliation: Faculty of Exact Sciences School of Mathematical Sciences Tel Aviv University 69978 Tel Aviv Israel
Email: polterov@post.tau.ac.il

DOI: https://doi.org/10.1090/spmj/1488
Keywords: Berezin--Toeplitz quantization, symplectic manifold, quantum measurement
Received by editor(s): October 13, 2016
Published electronically: December 27, 2017
Additional Notes: The second author was partially supported by the Israel Science Foundation grant 178/13 and the European Research Council Advanced grant 338809
Dedicated: To Yuriĭ Dmitrievich Burago on the occasion of his 80th birthday
Article copyright: © Copyright 2017 American Mathematical Society

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