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Ab initio Quantum and ab initio Molecular Dynamics of the
Ab initio Quantum and ab initio Molecular Dynamics of the

... The second class consists of adsorption systems like H2 25,26,27,28,29,30,31 , O2 32,33,34,35 , and N2 36 on various transition metal surfaces. In particular the well-studied system H2 /Pd(100),5,7,25,37,38,39 which is the subject of our study, belongs to this class. An initially decreasing sticking ...
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... completeness and non-locality of quantum mechanics. Both thought experiments ask the question what is the relation between classical and quantum physics. This leads to other questions: • At which level can we still observe superposition of quantum states? • Where is the borderline between the classi ...
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Nonclassical states of light propagating in Kerr media

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... without computers. In particular, besides solving equations numerically, computers allow to model systems of interest directly, creating a bridge between the theory and experiment. For instance, consider a molecular system, modeled on a computer. Besides the averaged properties, that can be compared ...
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non equilibrium dynamics of quantum ising chains in the presence

Characterizing Quantum Supremacy in Near
Characterizing Quantum Supremacy in Near

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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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