Deformed Schrödinger symmetry on noncommutative space
JD Block, Sector 3, S.N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata, 700098, India
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Published online: 27 June 2006
We construct the deformed generators of Schrödinger symmetry consistent with noncommutative space. The examples of the free particle and the harmonic oscillator, both of which admit Schrödinger symmetry, are discussed in detail. We construct a generalised Galilean algebra where the second central extension exists in all dimensions. This algebra also follows from the Inonu–Wigner contraction of a generalised Poincaré algebra in noncommuting space.
© Springer-Verlag, 2006