Newton's second law in a non-commutative space

DOI10.1016/S0375-9601(03)00191-9zbMath1011.70014arXivhep-th/0211165OpenAlexW2035237922MaRDI QIDQ1865487

J. A. Santiago, Juan M. Romero, José David Vergara

Publication date: 26 March 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0211165

zbMATH Keywords

symplectic structureKepler problemrotational symmetry breakingNewton's second lawnon-commutative quantum mechanicscentral field

Mathematics Subject Classification ID

Two-body problems (70F05) Noncommutative geometry in quantum theory (81R60) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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Cites Work

• Quantum mechanics on the noncommutative plane and sphere
• Two phases of the noncommutative quantum mechanics
• The standard model on non-commutative space-time
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