Deformation Quantization of a Harmonic Oscillator in a General Non-commutative Phase Space: Energy Spectrum in Relevant Representations

DOI10.1007/978-3-0348-0448-6_24zbMath1264.81262arXiv1108.1585OpenAlexW70130493MaRDI QIDQ4915630

Dine Ousmane Samary, Mahouton Norbert Hounkonnou

Publication date: 11 April 2013

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1585

zbMATH Keywords

energy spectrumdeformation quantizationLandau problemharmonic oscillatornon-commutative phase space

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Unnamed Item
• Quantum Hall effect in noncommutative quantum mechanics
• Deformation theory and quantization. I: Deformations of symplectic structures
• Representations of non-commutative quantum mechanics and symmetries
• String theory and noncommutative geometry
• Deformation quantization in the teaching of quantum mechanics
• The noncommutative harmonic oscillator in more than one dimension
• Quantum mechanics on the noncommutative plane and sphere

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