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Quantum Dots in Photonic Structures
Quantum Dots in Photonic Structures

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Topological Coherence and Decoherence

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Quantum Algorithms and Cryptography

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... the basic concepts of quantum mechanics. - The state of a quantum mechanical system is completely specified by a wave function Ψ(x,t). The probability that a particle will be found at time t0 in a spatial interval of width dx centered at x0 is given by Ψ*(x0,t0)Ψ(x0,t0)dx. - For every measurable pro ...
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Taylor`s experiment (1909)

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Inverse quantum mechanics of the hydrogen atom: A

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Universal Quantum Computation with the Exchange Interaction

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Welcome to Physics 112N

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Deep-sea clams feel the heat

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... Quantum Numbers Pauli Exclusion Principle No two electrons in an atom can have the same 4 quantum numbers. Each e- has a unique “address”: 1. Principal # 2. Ang. Mom. # 3. Magnetic # 4. Spin # ...
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Multilinear Formulas and Skepticism of Quantum

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Dima Geshkenbian

Phys. Rev. Lett. 103, 190601 (2009): Quantum Thermal
Phys. Rev. Lett. 103, 190601 (2009): Quantum Thermal

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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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