Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Rastelli, G.
dc.date.accessioned	2019-02-16T09:15:55Z
dc.date.available	2019-02-16T09:15:55Z
dc.date.issued	2016
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
dc.identifier.other	2010 Mathematics Subject Classification: 81S05; 81R12; 70H06
dc.identifier.other	DOI:10.3842/SIGMA.2016.081
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147848
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
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