Deformed Schrodinger symmetry on noncommutative space

Abstract

We construct the deformed generators of Schroedinger symmetry consistent with noncommutative space. The examples of the free particle and the harmonic oscillator, both of which admit Schroedinger 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 Poincare algebra in noncommuting space.

9 pages, LaTeX, abstract modified, new section included

References in corpus (5)

• A Gravity Theory on Noncommutative Spaces
• New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincare Symmetries
• On Schrödinger superalgebras
• Space-time symmetry of noncommutative field theory
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Cited by in corpus (7)

• Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
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• Exotic galilean symmetry and non-commutative mechanics
• Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces
• Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
• Inverse square problem and so(2,1) symmetry in noncommutative space
• Study on Noncommutative Representations of Galilean Generators