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Dual Kappa Poincare Algebra
Lorentz Poincare and phase space algebras DSR kappa Poincare algebra
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2010/12/21
We show a different modification of Poincare algebra that also preserves the Lorentz algebra. The change begins with how boosts affect space-time in a way similar to how boosts affect the momenta in k...
The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
Gelfand spectrum noncommutative C*-algebra topos-theoretic approach
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2010/11/11
We compare two influential ways of defining a generalized notion of space. The first, inspired by Gelfand duality, states that the category of 'noncommutative spaces' is the opposite of the category o...
Coherent states, displaced number states and Laguerre polynomial states for su(1,1) Lie algebra
Coherent states displaced number states Laguerre polynomial states su(1,1) Lie algebra
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2010/10/13
The ladder operator formalism of a general quantum state for su(1,1)ie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Perelomov’s cohe...