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Infinitely Disordered Critical Behavior in Higher Dimensional
Infinitely Disordered Critical Behavior in Higher Dimensional

Quantum Field Theory in Condensed Matter Physics 2nd Ed.
Quantum Field Theory in Condensed Matter Physics 2nd Ed.

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Full-Text PDF

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... exerts a force of roughly 7 · 10−9 N. The acceleration due to this force would then be of the order of 10 m s−2 - comparable to the acceleration we assumed for the solar sail above. Regardless of the specific implementation and geometry, all the just mentioned optomechanical setups share the same ba ...
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Manipulation and Simulation of Cold Atoms in

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Prog. Theor. Phys. Suppl. 176, 384 (2008).
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... the quantum dimension of τ is the golden ratio ϕ = 2 . When two τ anyons fuse, the probability to see 1 is p0 = ϕ12 , and the probability to see τ is p1 = ϕϕ2 = ϕ1 . 2.4. F-matrices and pentagons In the discussion of the fusion tree basis above, we fuse the anyons 1, 2, · · · , n consecutively one b ...
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A theory of concepts and their combinations I

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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