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61, 062310 (2000)
61, 062310 (2000)

Collapse. What else?
Collapse. What else?

Phase-Coherent Transport through a Mesoscopic System: A New Probe V 80, N
Phase-Coherent Transport through a Mesoscopic System: A New Probe V 80, N

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... to its right from another side, and everything else but the spatial reflection remains unchanged. Moreover, physics assures us that the description is complete and that it is no accident. In such a case we appear justified in claiming that physics in such a world is "handed", i.e., that one spatial ...
FPGA emulation of quantum circuits
FPGA emulation of quantum circuits

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Size-dependent energy levels of CdTe quantum dots

... quantized hole states in CdTe dots were calculated by a multiband effective-mass approximation. By using the calculated results, we can obtain the size-dependent transition energies between quantized hole states and electron states. Therefore, in comparison with the experimental data, we replotted t ...
On Complex Structures in Physics
On Complex Structures in Physics

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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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