The noncommutative harmonic oscillator in more than one dimension

DOI10.1063/1.1416196zbMath1059.81096arXivhep-th/0103074OpenAlexW1964598652MaRDI QIDQ4830665

Ioannis Smyrnakis, Agapitos N. Hatzinikitas

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0103074

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)

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Cites Work

• Noncommutative quantization in 2D conformal field theory
• Deformation theory and quantization. I: Deformations of symplectic structures
• Constrained quantization of open string in background \(B\) field and noncommutative D-brane
• Deformation quantization of bosonic strings
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• Quantum Mechanics on some Supermanifolds
• Wigner trajectory characteristics in phase space and field theory
• Equivalence of star products
• On the principles of elementary quantum mechanics
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• Comments on noncommutative perturbative dynamics
• Non-commutative gauge dynamics from the string worldsheet
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• Diagrams of noncommutative \(\Phi^3\) theory from string theory
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• Quantum mechanics on the noncommutative plane and sphere

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