DOI: 10.1063/1.529939. Moyal quantization of 2+1-dimensional Galilean systems

Moyal quantization of 2+1-dimensional Galilean systems

10.1063/1.529939

Crossref journal-article

AIP Publishing

Journal of Mathematical Physics (317)

Abstract

Stratonovich–Weyl kernels are constructed for some of the coadjoint orbits of the two-dimensional extended Galilean group G(2+1). As an intermediate step, the unitary irreducible representations associated with a given group orbit are obtained by using the Kirillov–Mackey theory. Star products are defined, in the sense of Moyal, for functions on each of these orbits. The central extension of G(2+1) with parameter k is also analyzed, which results from the commutator between the generators of boosts, to conclude that it originates a sort of nonrelativistic remainder of the Thomas precession.

Bibliography

Ballesteros, A., Gadella, M., & Del Olmo, M. A. (1992). Moyal quantization of 2+1-dimensional Galilean systems. Journal of Mathematical Physics, 33(10), 3379â3386.

Authors 3

A. Ballesteros (first)
M. Gadella (additional)
M. A. Del Olmo (additional)

References 26 Referenced 53

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10.1063/1.529315 / J. Math. Phys. (1991)
{'key': '2024021102504559300_r5', 'first-page': '1012', 'volume': '31', 'year': '1956', 'journal-title': 'Sov. Phys. JETP'} / Sov. Phys. JETP (1956)
{'key': '2024021102504559300_r6'}
{'key': '2024021102504559300_r7'}
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10.1017/S0305004100000487 / Proc. Cambridge Philos. Soc. (1949)
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{'key': '2024021102504559300_r17'}
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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:34 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 9:50 p.m.)
Indexed	1 year, 4 months ago (April 16, 2024, 6:08 p.m.)
Issued	32 years, 11 months ago (Oct. 1, 1992)
Published	32 years, 11 months ago (Oct. 1, 1992)
Published Print	32 years, 11 months ago (Oct. 1, 1992)

Funders 0

None

BibTeX

@article{Ballesteros_1992, title={Moyal quantization of 2+1-dimensional Galilean systems}, volume={33}, ISSN={1089-7658}, url={http://dx.doi.org/10.1063/1.529939}, DOI={10.1063/1.529939}, number={10}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Ballesteros, A. and Gadella, M. and Del Olmo, M. A.}, year={1992}, month=oct, pages={3379–3386} }

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