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dc.contributor.author |
Rastelli, G. |
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dc.date.accessioned |
2019-02-16T09:15:55Z |
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dc.date.available |
2019-02-16T09:15:55Z |
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dc.date.issued |
2016 |
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dc.identifier.citation |
Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator / G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 15 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 81S05; 81R12; 70H06 |
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dc.identifier.other |
DOI:10.3842/SIGMA.2016.081 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/147848 |
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dc.description.abstract |
We apply the Born-Jordan and Weyl quantization formulas for polynomials in canonical coordinates to the constants of motion of some examples of the superintegrable 2D anisotropic harmonic oscillator. Our aim is to study the behaviour of the algebra of the constants of motion after the different quantization procedures. In the examples considered, we have that the Weyl formula always preserves the original superintegrable structure of the system, while the Born-Jordan formula, when producing different operators than the Weyl's one, does not. |
uk_UA |
dc.description.sponsorship |
I am grateful to the referees of this article for their comments and suggestions. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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