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Just enough on Dirac Notation
Just enough on Dirac Notation

A system`s wave function is uniquely determined by its
A system`s wave function is uniquely determined by its

Two types of potential functions and their use in the
Two types of potential functions and their use in the

... defined as: u : C → R, where C is a set of objects. A preference relation on two objects, x and y such that, say, x ≻ y will imply that u(x) > u(y) under the necessary conditions that the preference relation is transitive and asymmetric. This paper will not pretend to be at a level of rigor which ha ...
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Quantum Optics - Assets - Cambridge University Press

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Lab Report 3 - The Institute of Optics

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A Quantum Algorithm for Finding a Hamilton Circuit

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Scattering model for quantum random walks on a hypercube

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Schedule - University of Houston

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pptx, 11Mb - ITEP Lattice Group

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7 WZW term in quantum mechanics: single spin

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The quantum mechanics of photon addition and subtraction

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Chapter 5 : Electrons in Atoms

One Complexity Theorist`s View of Quantum Computing
One Complexity Theorist`s View of Quantum Computing

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Quantum Computation with Neutral Atoms

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Computational advantage from quantum

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PPT

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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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