منابع مشابه
Nambu tensors and commuting vector fields
Takhtajan has recently studied the consistency conditions for Nambu brackets, and suggested that they have to be skew-symmetric, and satisfy Leibnitz rule and the Fundamental Identity (FI, it is a generalization of the Jacobi identity). If the n-th order Nambu brackets in dimension N is written as {f1, . . . , fn} = ηi1...in∂i1f1 · · · ∂infn (where the iα summations range over 1 . . . N), the F...
متن کاملKilling-yano Tensors and Nambu Tensors
We present the conditions when a Killing-Yano tensor becomes a Nambu tensor. We have shown that in the flat space case all Killing-Yano tensors are Nambu tensors. In the case of Taub-NUT metric and Kerr-Newmann metric we found that a Killing-Yano tensor of order two generate a Nambu tensor of order three. after 1st September 1999 at Institute of Space Sciences,Bucharest-Magurele, Romania e-mail...
متن کاملKilling-yano Tensors and Nambu Mechanics
Killing-Yano tensors was introduced in 1952 by Kentaro-Yano from mathematically point of view.The physical interpretation of KillingYano tensors of rang higher than two was unclear. We found the conditions when a Killing-Yano tensor becomes a Nambu tensor. We found that in flat space case all the Killing-Yano tensors are Nambu tensors. Permanent address: Institute of Space Sciences,Bucharest-Ma...
متن کاملCommuting Planar Polynomial Vector Fields for Conservative Newton Systems
We study the problem of characterizing polynomial vector fields that commute with a given polynomial vector field on a plane. It is a classical result that one can write down solution formulas for an ODE that corresponds to a planar vector field that possesses a linearly independent commuting vector field. This problem is also central to the question of linearizability of vector fields. Let f ∈...
متن کاملClassical Nambu-Goldstone fields
It is shown that a Nambu-Goldstone (NG) field may be coherently produced by a large number of particles in spite of the fact that the NG bosons do not couple to flavor conserving scalar densities like ψ̄ψ. If a flavor oscillation process takes place the phases of the pseudo-scalar or flavor violating densities of different particles do not necessarily cancel each other. The NG boson gets a macro...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1997
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/30/3/001