DYNAMICS DETERMINES GEOMETRY

DOI10.1142/S0217732312501866zbMath1260.81136arXiv1204.3281OpenAlexW2055787221MaRDI QIDQ4912455

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Publication date: 4 April 2013

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

Full work available at URL: https://arxiv.org/abs/1204.3281

zbMATH Keywords

non-commutative geometryclassical and quantum mechanics

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Inverse problems in optimal control (49N45)

Cites Work

• Spin and exotic Galilean symmetry
• Spin Hall effect and Berry phase of spinning particles
• The range of application of the lagrange formalism — I
• REVIEW OF THE PHENOMENOLOGY OF NONCOMMUTATIVE GEOMETRY
• No Lagrangian? No quantization!
• The construction of a Poisson structure out of a symmetry and a conservation law of a dynamical system
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
• NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
• Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
• The commutation laws of relativistic field theory
• Noncommutative field theory
• On the inverse problem of the calculus of variations
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on the noncommutative plane and sphere

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