XXIX Workshop on Geometric Methods in Physics 27.06-03.07.2010

Ricardo Kullock

Twist deformation of (conformal) quantum mechanics

We apply the abelian Drinfeld Twist to deform a Universal Enveloping Lie algebra. The Lie algebra contains, as a subalgebra, both the conformal algebra of the 1D Quantum Mechanics and the Heisenberg algebra. The Hopf algebra structure of the deformed algebra allows, in particular, to find the spectrum of a deformed harmonic oscillator and the noncommutative structures defined on it. We use the twist method to calculate the deformed spectrum using a deformed module.

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