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The Impact of Energy Band Diagram and Inhomogeneous
The Impact of Energy Band Diagram and Inhomogeneous

Impurity and soliton dynamics in a Fermi gas with nearest
Impurity and soliton dynamics in a Fermi gas with nearest

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... During recent years we could bear witness to an immense research activity, both in experimental and theoretical physics, as well as in chemistry, aimed at understanding the detailed dynamics of quantum systems that are exposed to strong time-dependent external fields. The quantum mechanics of explic ...
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Introduction to Quantum Computing (2010) (e-book)
Introduction to Quantum Computing (2010) (e-book)

... As a theoretical Physics student, on the one hand I’m interested on an entire class of problems related to quantum information theory, including aspects of classical and quantum cryptography, as well as the computational complexity theory and quantum algorithms. On the another hand, when it comes to ...
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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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