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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Author: Rastelli, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147848
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 quan...