Noncommutative fluid dynamics in the Snyder space-time
نویسندگان
چکیده
منابع مشابه
Dynamics in a Noncommutative Space
We discuss the dynamics of a particular two-dimensional (2D) physical system in the four dimensional (4D) (non-)commutative phase space by exploiting the consistent Hamiltonian and Lagrangian formalisms based on the symplectic structures defined on the 4D (non-)commutative cotangent manifolds. The noncommutativity exists equivalently in the coordinate or the momentum planes embedded in the 4D c...
متن کاملDynamics in a Noncommutative Space
We discuss the dynamics of a particular two-dimensional (2D) physical system in the four dimensional (4D) (non-)commutative phase space by exploiting the consistent Hamiltonian and Lagrangian formalisms based on the symplectic structures defined on the 4D (non-)commutative cotangent manifold. The noncommutativity exists in the coordinates or the momentum planes embedded in the 4D cotangent mani...
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We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (u...
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متن کاملTwisted Symmetry in Snyder Space and Relativistic Particle Dynamics
We describe the twisted Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these twisted symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the twisted symmetries with the usual (untw...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2012
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.86.045019