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Author Khorrami, Mohammad ♦ Fatollahi, Amir H. ♦ Shariati, Ahmad
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-11
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ physics:hep-th
Abstract The Poisson structure is constructed for a model in which spatial coordinates of configuration space are noncommutative and satisfy the commutation relations of a Lie algebra. The case is specialized to that of the group SU(2), for which the counterpart of the angular momentum, as well as the Euler parameterization of the phase space are introduced. SU(2)-invariant classical systems are discussed, and it is observed that the path of particle can be obtained by the solution of a first-order equation, as the case with such models on commutative spaces. The examples of free particle, rotationally-invariant potentials, and specially the isotropic harmonic oscillator are investigated in more detail.
Description Reference: J. Math. Phys. 50 (2009) 072902
Educational Use Research
Learning Resource Type Article
Page Count 121


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