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arxiv: 1207.3919 · v1 · pith:J45BBMILnew · submitted 2012-07-17 · 🧮 math-ph · math.MP

Para-Galilean versus Galilean Noncommutative Phase spaces

classification 🧮 math-ph math.MP
keywords casefieldgalileimagneticnoncommutativepara-galileiphasespaces
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The present paper deals with the construction of noncommutative phase spaces as coadjoint orbits of noncentral extensions of Galilei and Para-Galilei groups in two-dimensional space. The noncommutativity is due to the presence of a dual magnetic field B* in the Galilei case and of a magnetic field B in the Para-Galilei case.

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