Aspects of classical and quantum Nambu mechanics

DOI10.1007/BF00312678zbMath0861.70018arXivhep-th/9507125MaRDI QIDQ1922519

Rupak Chatterjee, L. A. Takhtadzhyan

Publication date: 12 May 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9507125

zbMATH Keywords

Nambu-Poisson manifoldslinear Nambu bracketsNambu-Heisenberg commutation relations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (16)

Deformation quantization and Nambu mechanics ⋮ Freudenthal gauge theory ⋮ Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier ⋮ Reduction of Nambu-Poisson manifolds by regular distributions ⋮ On ternary (Hom-)Nambu-Poisson algebras ⋮ Nambu-Lie 3-algebras on fuzzy 3-manifolds ⋮ BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS ⋮ Volume Preserving Multidimensional Integrable Systems and NambuPoisson Geometry ⋮ The $*$-Markov equation for Laurent polynomials ⋮ On higher analogues of Courant algebroids ⋮ Fractional Nambu dynamics ⋮ A Variational Principle for Volume-Preserving Dynamics ⋮ On the minimal length uncertainty relation and the foundations of string theory ⋮ Hopf structure in Nambu-Lie \(n\)-algebras ⋮ Foliations associated with Nambu-Jacobi structures ⋮ On Nambu–Poisson Manifolds

Cites Work

• On foundation of the generalized Nambu mechanics
• Dynamical symmetries and Nambu mechanics
• Generalized Hamiltonian Dynamics

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