| CHOWDHURY, S. Hasibul Hassan, S. Twareque ALI and Miroslav ENGLIŠ. Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization. Journal of Physics A: Mathematical and Theoretical. Bristol (England): IOP Publishing Ltd, 2017, vol. 50, No 19, p. „195203-1“-„195203-19“, 19 pp. ISSN 1751-8113. Available from: https://dx.doi.org/10.1088/1751-8121/aa66a6. |
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@article{29842,
author = {Chowdhury, S. Hasibul Hassan and Ali, S. Twareque and Engliš, Miroslav},
article_location = {Bristol (England)},
article_number = {19},
doi = {http://dx.doi.org/10.1088/1751-8121/aa66a6},
keywords = {coherent states; Berezin-Toeplitz quantization; reproducing kernel; noncommutative geometry},
language = {eng},
issn = {1751-8113},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization},
url = {http://iopscience.iop.org/article/10.1088/1751-8121/aa66a6/meta},
volume = {50},
year = {2017}
}
TY - JOUR
ID - 29842
AU - Chowdhury, S. Hasibul Hassan - Ali, S. Twareque - Engliš, Miroslav
PY - 2017
TI - Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
JF - Journal of Physics A: Mathematical and Theoretical
VL - 50
IS - 19
SP - „195203-1“-„195203-19“
EP - „195203-1“-„195203-19“
PB - IOP Publishing Ltd
SN - 17518113
KW - coherent states
KW - Berezin-Toeplitz quantization
KW - reproducing kernel
KW - noncommutative geometry
UR - http://iopscience.iop.org/article/10.1088/1751-8121/aa66a6/meta
L2 - http://iopscience.iop.org/article/10.1088/1751-8121/aa66a6/meta
N2 - 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.
ER -
CHOWDHURY, S. Hasibul Hassan, S. Twareque ALI and Miroslav ENGLIŠ. Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization. \textit{Journal of Physics A: Mathematical and Theoretical}. Bristol (England): IOP Publishing Ltd, 2017, vol.~50, No~19, p.~„195203-1“-„195203-19“, 19 pp. ISSN~1751-8113. Available from: https://dx.doi.org/10.1088/1751-8121/aa66a6.
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