Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F17%3AA0000005" target="_blank" >RIV/47813059:19610/17:A0000005 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/17:00474389
Result on the web
<a href="http://iopscience.iop.org/article/10.1088/1751-8121/aa66a6/meta" target="_blank" >http://iopscience.iop.org/article/10.1088/1751-8121/aa66a6/meta</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/aa66a6" target="_blank" >10.1088/1751-8121/aa66a6</a>
Alternative languages
Result language
angličtina
Original language name
Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
Original language description
In this paper, we construct noncommutative coherent states using various families of unitary irreducible representations (UIRs) of G(nc), a connected, simply connected nilpotent Lie group, which was identified as the kinematical symmetry group of noncommutative quantum mechanics for a system of two degrees of freedom in an earlier paper. Similarly described are the degenerate noncommutative coherent states arising from the degenerate UIRs of Gnc. We then compute the reproducing kernels associated with both these families of coherent states and study the Berezin-Toeplitz quantization of the observables on the underlying 4-dimensional phase space, analyzing in particular the semi-classical asymptotics for both these cases.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A: Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
1751-8121
Volume of the periodical
50
Issue of the periodical within the volume
19
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
„195203-1“-„195203-19“
UT code for WoS article
000399749700001
EID of the result in the Scopus database
2-s2.0-85018503327